Choose: WHAT is P% that X? Y is WHAT percent of X? Y is P% of WHAT? WHAT % of X is Y? P% of WHAT is Y? P% the X is WHAT? Y the end of WHAT is P%? WHAT out of X is P%? Y the end of X is WHAT %? X plus P% is WHAT? X plus WHAT % is Y? WHAT add to P% is Y? X minus P% is WHAT? X minus WHAT % is Y? WHAT minus P% is Y?

## Calculator Use

Find a portion or job-related out the percentage given numbers and percent values. Usage percent formulas to number out percentages and unknowns in equations. Include or subtract a percent from a number or fix the equations.

You are watching: What is a 13 out of 20

## How to calculation Percentages

There are plenty of formulas for percentage problems. You can think of the most an easy as X/Y = ns x 100. The formulas below are all mathematical sport of this formula.

Let"s check out the three straightforward percentage problems. X and also Y room numbers and also P is the percentage:

uncover P percent the X uncover what percent of X is Y uncover X if p percent of it is Y

See more: Explain Why There Are More Substances On Earth Than Are Listed On The Periodic Table Of Elements.

## 1. Exactly how to calculate portion of a number. Use the percent formula: P% * X = Y

Example: What is 10% of 150?

transform the problem to an equation making use of the portion formula: P% * X = Y p is 10%, X is 150, for this reason the equation is 10% * 150 = Y convert 10% to a decimal by removing the percent sign and also dividing through 100: 10/100 = 0.10 instead of 0.10 for 10% in the equation: 10% * 150 = Y becomes 0.10 * 150 = Y do the math: 0.10 * 150 = 15 Y = 15 for this reason 10% that 150 is 15 double check her answer v the initial question: What is 10% of 150? main point 0.10 * 150 = 15

## 2. Exactly how to find what percent that X is Y. Usage the percent formula: Y/X = P%

Example: What percent that 60 is 12?

convert the problem to an equation using the percent formula: Y/X = P% X is 60, Y is 12, for this reason the equation is 12/60 = P% execute the math: 12/60 = 0.20 Important! The result will constantly be in decimal form, not percentage form. You have to multiply the result by 100 to acquire the percentage. Convert 0.20 to a percent: 0.20 * 100 = 20% therefore 20% of 60 is 12. Dual check your answer through the initial question: What percent the 60 is 12? 12/60 = 0.20, and multiplying by 100 to acquire percentage, 0.20 * 100 = 20%

## 3. How to uncover X if p percent of the is Y. Use the percent formula Y/P% = X

Example: 25 is 20% of what number?

transform the problem to an equation making use of the percentage formula: Y/P% = X Y is 25, P% is 20, therefore the equation is 25/20% = X convert the percent to a decimal by separating by 100. Converting 20% come a decimal: 20/100 = 0.20 instead of 0.20 for 20% in the equation: 25/0.20 = X carry out the math: 25/0.20 = X X = 125 so 25 is 20% the 125 dual check your answer v the initial question: 25 is 20% of what number? 25/0.20 = 125

### Remember: just how to transform a portion to a decimal

remove the percent sign and divide through 100 15.6% = 15.6/100 = 0.156

### Remember: exactly how to transform a decimal come a percentage

multiply by 100 and add a percentage sign 0.876 = 0.876 * 100 = 87.6%

## Percentage Problems

There space nine sports on the three simple problems entailing percentages. Watch if friend can enhance your problem to one of the samples below. The problem formats match the input areas in the calculator above. Formulas and examples room included.

### What is p percent that X?

created as an equation: Y = P% * X The "what" is Y that we want to resolve for remember to very first convert portion to decimal, dividing by 100 Solution: solve for Y using the percent formula Y = P% * X

### Example: What is 10% the 25?

Written utilizing the percent formula: Y = 10% * 25 first convert portion to a decimal 10/100 = 0.1 Y = 0.1 * 25 = 2.5 therefore 10% of 25 is 2.5