Basic Calculator
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Calculator Use
Find a percentage or work out the percentage given numbers and percent values. Use percent formulas to figure out percentages and unknowns in equations. Add or subtract a percentage from a number or solve the equations.
How to Calculate Percentages
There are many formulas for percentage problems. You can think of the most basic as X/Y = P x 100. The formulas below are all mathematical variations of this formula.
Let's explore the three basic percentage problems. X and Y are numbers and P is the percentage:
- Find P percent of X
- Find what percent of X is Y
- Find X if P percent of it is Y
Read on to learn more about how to figure percentages.
1. How to calculate percentage of a number. Use the percentage formula: P% * X = Y
Example: What is 10% of 150?
- Convert the problem to an equation using the percentage formula: P% * X = Y
- P is 10%, X is 150, so the equation is 10% * 150 = Y
- Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10
- Substitute 0.10 for 10% in the equation: 10% * 150 = Y becomes 0.10 * 150 = Y
- Do the math: 0.10 * 150 = 15
- Y = 15
- So 10% of 150 is 15
- Double check your answer with the original question: What is 10% of 150? Multiply 0.10 * 150 = 15
2. How to find what percent of X is Y. Use the percentage formula: Y/X = P%
Example: What percent of 60 is 12?
- Convert the problem to an equation using the percentage formula: Y/X = P%
- X is 60, Y is 12, so the equation is 12/60 = P%
- Do the math: 12/60 = 0.20
- Important! The result will always be in decimal form, not percentage form. You need to multiply the result by 100 to get the percentage.
- Converting 0.20 to a percent: 0.20 * 100 = 20%
- So 20% of 60 is 12.
- Double check your answer with the original question: What percent of 60 is 12? 12/60 = 0.20, and multiplying by 100 to get percentage, 0.20 * 100 = 20%
3. How to find X if P percent of it is Y. Use the percentage formula Y/P% = X
Example: 25 is 20% of what number?
- Convert the problem to an equation using the percentage formula: Y/P% = X
- Y is 25, P% is 20, so the equation is 25/20% = X
- Convert the percentage to a decimal by dividing by 100.
- Converting 20% to a decimal: 20/100 = 0.20
- Substitute 0.20 for 20% in the equation: 25/0.20 = X
- Do the math: 25/0.20 = X
- X = 125
- So 25 is 20% of 125
- Double check your answer with the original question: 25 is 20% of what number? 25/0.20 = 125
Remember: How to convert a percentage to a decimal
- Remove the percentage sign and divide by 100
- 15.6% = 15.6/100 = 0.156
Remember: How to convert a decimal to a percentage
- Multiply by 100 and add a percentage sign
- 0.876 = 0.876 * 100 = 87.6%
Percentage Problems
There are nine variations on the three basic problems involving percentages. See if you can match your problem to one of the samples below. The problem formats match the input fields in the calculator above. Formulas and examples are included.
What is P percent of X?
- Written as an equation: Y = P% * X
- The 'what' is Y that we want to solve for
- Remember to first convert percentage to decimal, dividing by 100
- Solution: Solve for Y using the percentage formula
Y = P% * X
Example: What is 10% of 25?
- Written using the percentage formula: Y = 10% * 25
- First convert percentage to a decimal 10/100 = 0.1
- Y = 0.1 * 25 = 2.5
- So 10% of 25 is 2.5
Y is what percent of X?
- Written as an equation: Y = P% ? X
- The 'what' is P% that we want to solve for
- Divide both sides by X to get P% on one side of the equation
- Y ÷ X = (P% ? X) ÷ X becomes Y ÷ X = P%, which is the same as P% = Y ÷ X
- Solution: Solve for P% using the percentage formula
P% = Y ÷ X
Example: 12 is what percent of 40?
- Written using the formula: P% = 12 ÷ 40
- P% = 12 ÷ 40 = 0.3
- Convert the decimal to percent
- P% = 0.3 × 100 = 30%
- So 12 is 30% of 40
Y is P percent of what?
- Written as an equation: Y = P% * X
- The 'what' is X that we want to solve for
- Divide both sides by P% to get X on one side of the equation
- Y ÷ P% = (P% × X) ÷ P% becomes Y ÷ P% = X, which is the same as X = Y ÷ P%
- Solution: Solve for X using the percentage formula
X = Y ÷ P%
Example: 9 is 60% of what?
- Writen using the formula: X = 9 ÷ 60%
- Convert percent to decimal
- 60% ÷ 100 = 0.6
- X = 9 ÷ 0.6
- X = 15
- So 9 is 60% of 15
What percent of X is Y?
- Written as an equation: P% * X = Y
- The 'what' is P% that we want to solve for
- Divide both sides by X to get P% on one side of the equation
- (P% * X) ÷ X = Y ÷ X becomes P% = Y ÷ X
- Solution: Solve for P% using the percentage formula
P% = Y ÷ X
Example: What percent of 27 is 6?
- Written using the formula: P% = 6 ÷ 27
- 6 ÷ 27 = 0.2222
- Convert decimal to percent
- P% = 0.2222 × 100
- P% = 22.22%
- So 22.22% of 27 is 6
P percent of what is Y?
- Written as an equation: P% × X = Y
- The 'what' is X that we want to solve for
- Divide both sides by P% to get X on one side of the equation
- (P% × X) ÷ P% = Y ÷ P% becomes X = Y ÷ P%
- Solution: Solve for X using the percentage formula
X = Y ÷ P%
Example: 20% of what is 7?
- Written using the formula: X = 7 ÷ 20%
- Convert the percent to a decimal
- 20% ÷ 100 = 0.2
- X = 7 ÷ 0.2
- X = 35
- So 20% of 35 is 7.
P percent of X is what?
- Written as an equation: P% * X = Y
- The 'what' is Y that we want to solve for
- Solution: Solve for Y using the percentage formula
Y = P% * X
Example: 5% of 29 is what?
- Written using the formula: 5% * 29 = Y
- Convert the percent to a decimal
- 5% ÷ 100 = 0.05
- Y = 0.05 * 29
- Y = 1.45
- So 5% of 29 is 1.45
Y of what is P percent?
- Written as an equation: Y / X = P%
- The 'what' is X that we want to solve for
- Multiply both sides by X to get X out of the denominator
- (Y / X) * X = P% * X becomes Y = P% * X
- Divide both sides by P% so that X is on one side of the equation
- Y ÷ P% = (P% * X) ÷ P% becomes Y ÷ P% = X
- Solution: Solve for X using the percentage formula
X = Y ÷ P%
Example: 4 of what is 12%?
- Written using the formula: X = 4 ÷ 12%
- Solve for X: X = Y ÷ P%
- Convert the percent to a decimal
- 12% ÷ 100 = 0.12
- X = 4 ÷ 0.12
- X = 33.3333
- 4 of 33.3333 is 12%
What of X is P percent?
- Written as an equation: Y / X = P%
- The 'what' is Y that we want to solve for
- Multiply both sides by X to get Y on one side of the equation
- (Y ÷ X) * X = P% * X becomes Y = P% * X
- Solution: Solve for Y using the percentage formula
Y = P% * X
Example: What of 25 is 11%?
- Written using the formula: Y = 11% * 25
- Convert the percent to a decimal
- 11% ÷ 100 = 0.11
- Y = 0.11 * 25
- Y = 2.75
- So 2.75 of 25 is 11%
Y of X is what percent?
- Written as an equation: Y / X = P%
- The 'what' is P% that we want to solve for
- Solution: Solve for P% using the percentage formula
P% = Y / X
Example: 9 of 13 is what percent?
- Written using the formula: P% = Y / X
- 9 ÷ 13 = P%
- 9 ÷ 13 = 0.6923
- Convert decimal to percent by multiplying by 100
- 0.6923 * 100 = 69.23%
- 9 ÷ 13 = 69.23%
- So 9 of 13 is 69.23%
Related Calculators
Find the change in percentage as an increase or decrease using the Percentage Change Calculator.
Solve decimal to percentage conversions with our Decimal to Percent Calculator.
Convert from percentage to decimals with the Percent to Decimal Calculator.
If you need to convert between fractions and percents see our Fraction to Percent Calculator, or our Percent to Fraction Calculator.
References
Weisstein, Eric W. "Percent." From MathWorld -- A Wolfram Web Resource.
Cite this content, page or calculator as:
Furey, Edward "Percentage Calculator" at https://www.calculatorsoup.com/calculators/math/percentage.php from CalculatorSoup, https://www.calculatorsoup.com - Online Calculators
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FAQs
How do I find out what 100% of a number is? ›
The strategy here is to see how many times the "percent number" (in this case, 25) goes into 100, and then count by that number until we reach 100-the whole thing. Here, we're told that 25% of a number is 5. So, to find 100% of the number, we count by 25s up to 100: 25, 50, 75, 100.
How do you find your answer percentage? ›To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100.
What is 15 out of 17 as a percentage? ›First, you need to calculate your grade in percentages. The total answers count 17 - it's 100%, so we to get a 1% value, divide 17 by 100 to get 0.17. Next, calculate the percentage of 15: divide 15 by 1% value (0.17), and you get 88.24% - it's your percentage grade.
What is 14 percent out of 100? ›For the USA grading system, a value of 14.00% corresponds to the letter mark F. To get a quick percentage and letter grade, use Aspose Grade Calculator. Set the total question number of your exam or test, wrong or correct answers, and get your grade.
What is 20 percent out of 50? ›Answer: 20 percent of 50 is 10.
What percent 60 is 12? ›Answer and Explanation: 12 is 20% of 60.
What is 18 out of 20? ›Answer and Explanation: A percentage value of 18 out of 20 is 90%.
What is 28 out of 32 as a percentage? ›First, you need to calculate your grade in percentages. The total answers count 32 - it's 100%, so we to get a 1% value, divide 32 by 100 to get 0.32. Next, calculate the percentage of 28: divide 28 by 1% value (0.32), and you get 87.50% - it's your percentage grade.
What is 20% out of 40? ›Answer: 20% of 40 is 8.
What is 10% out of 40? ›Answer: 10% of 40 is 4.
What is 2% out of 50? ›
First, you need to calculate your grade in percentages. The total answers count 50 - it's 100%, so we to get a 1% value, divide 50 by 100 to get 0.50. Next, calculate the percentage of 2: divide 2 by 1% value (0.50), and you get 4.00% - it's your percentage grade.
How do you find the percentage of multiple answers? ›To calculate the percentage of an answer, divide the number of responses to that point by the total number of responses to this multiple-choice question, and multiply by 100 (to reach the percentage).
How to calculate how many points each question is worth on a test? ›To find out the point value for a particular question, simply divide 100 by the number of assessment questions on a particular assignment.
How do you work out 40% of 80? ›Answer: 40% of 80 is 32.
What is a 80% out of 20? ›Answer: 80% of 20 is 16.
Is it possible for 20% of 45 to be 9? ›Answer: 20% of 45 is 9.
What is a 70% out of 20? ›Answer: 70% of 20 is 14.
How many percent of 72 is 18? ›As such, 18 as a percentage of 72 will be 7218×100% = 4100=25%. Was this answer helpful?
What is 90 percent out of 20? ›Answer: 90% of 20 is 18.
How much percent of 40 is 32? ›Hence, the required percentage is 80 %
What is 36 out of 40? ›
Solution: 36/40 as a percent is 90%
How many percent is 7 out of 50? ›Hence, 7 out of 50 as a percentage is 14 % .
What is 40% out of 25? ›Answer: 40% of 25 is 10.
Is C a failing grade? ›A grade of C or better is required to earn a Passed; a C- or below will earn a Not Passed grade. A grade of C- may satisfy many requirements (e.g., General Education, elective) but a Not Passed grade will not earn any credit or satisfy requirements.
Is 94 an a minus? ›Common examples of grade conversion are: A+ (97–100), A (93–96), A- (90–92), B+ (87–89), B (83–86), B- (80–82), C+ (77–79), C (73–76), C- (70–72), D+ (67–69), D (65–66), D- (below 65).
Is a 69.5 AC in college? ›...
Grading Scale.
| SCORE | GRADE |
|---|---|
| 90-100 | A |
| 80-89 | B |
| 70*-79 | C |
| 60-69 | D |
Solution: 18/30 as a percent is 60%
What is a 19 out of 32? ›Solution: 19/32 as a percent is 59.375%
What is 24 out of 30 as a? ›Solution: 24/30 as a percent is 80%
What is 27 out of 40? ›Solution: 27/40 as a percent is 67.5%
What is 28 out of 40? ›
Hence, we have found the percentage of 28 out of 40 as 70%.
What is 29 out of 40 as a percentage? ›Solution: 29/40 as a percent is 72.5%
What is 15 out of 75 as a percentage? ›Solution: 15/75 as a percent is 20%
What is 23 out of 40 as a percentage? ›The percentage is 57.5. Q. Convert the following fractions into percentage.
What is a 15 out of 40? ›Solution: 15/40 as a percent is 37.5%
What is a 24 out of 50? ›Solution: 24/50 as a percent is 48%
What is an 80% out of 50? ›Answer: 80% of 50 is 40.
What grade is 5 wrong out of 30? ›| # Wrong | Grade |
|---|---|
| 5 | 50 |
| 6 | 40 |
| 7 | 30 |
| 8 | 20 |
A score of 16 out of 17 on a test, assignment or class is a 94.12% percentage grade. 1 questions were wrong or points missed. A 94% is an A letter grade. A letter grade A means excellent performance.
What is 16 out of 17 as a percent? ›Solution: 16/17 as a percent is 94.118%
What is 15 17 as a decimal? ›
Solution: 15/17 as a decimal is 0.88
When you convert 15/17 to a decimal, 0.88 is your answer.
| Student Age (as of September 1, 2023) | American Grade Equivalent |
|---|---|
| 17 years old | Grade 12 |
| 16 years old | Grade 11 |
| 15 years old | Grade 10 |
| 14 years old | Grade 9 |
| # Wrong | Grade |
|---|---|
| 5 | 50 |
| 6 | 40 |
| 7 | 30 |
| 8 | 20 |
A score of 13 out of 20 on a test, assignment or class is a 65% percentage grade. 7 questions were wrong or points missed. A 65% is a D letter grade. A letter grade D means less than satisfactory or below average performance.
What is 16 out of 23 as a percentage? ›Solution: 16/23 as a percent is 69.565%
What is 12 13 as a percentage? ›Solution: 12/13 as a percent is 92.308%
What is a 3 out of 16? ›Example 2: Convert 3/16 to percent. Therefore, the solution is 18.75 %.
What is 50 22 as a decimal? ›Solution: 50/22 as a decimal is 2.27
As a result, you get 2.27 as your answer when you convert 50/22 to a decimal.
Solution: 15/23 as a percent is 65.217%
How do I write 17 40 as a decimal? ›Solution: 17/40 as a decimal is 0.42.
What grade is 9 years old? ›
In North America, the fourth grade is the fifth school year of elementary school. Students are usually 9 or 10 years old. It can be considered a part of elementary school, traditionally providing instruction for young pupils in grades 3, 4 or 5.
How old is grade 9? ›The typical age for U.S. 9th grade students is 14 to 15 years.
What grade is 14 years old? ›Children in sixth grade are typically 11 to 12 years old, while those in eighth grade are 13 and 14. As such, children in Middle School range from 11 to 14 years old.