Percentage Calculator

Our easy to use Percentage Calculators allows you to solve the following percent calculation word problems: 

What is P% of X?

Determine the value of P% of X.

Solution Description:  Multiply X by P% (expressed as a decimal).

Example:

If 25% of a class of 36 students are participating in an event, how many students is that?

Solution:

Number of students = 0.25 × 36 = 9

Y is what percent of X?

Find the percentage Y represents of X.

Solution Description: Divide Y by X, then multiply by 100.

Example:

If 15 books out of 120 in a library are fiction, what percentage of the collection is fiction?

Solution:

Percentage of fiction books = ( 15 / 120 ) × 100 = 12.5%

Y is P% of what number?

Identify the number of which Y is P%.

Solution Description: Divide Y by P% (expressed as a decimal).

Example:

If 45 is 30% of a certain quantity, what is that quantity?

Solution:

Quantity = 45 / 0.30 = 150

What % of X is Y?

Determine the percentage Y represents out of X.

Solution Description: Divide Y by X, then multiply by 100.

Example:

If 8 out of 20 assignments are completed, what percentage is that?

Solution:

Percentage correct = ( 8 / 20 ) × 100 = 40%

P% of what is Y?

Identify the number of which P% is Y.

Solution Description: Divide Y by P% (expressed as a decimal).

Example:

If 60 is 15% of a certain quantity, what is that quantity?

Solution:

Quantity = 60 / 0.15 = 400

Y out of X is what %?

Express the ratio of Y to X as a percentage.

Solution Description: Divide Y by X, then multiply by 100.

Example:

If 25 students out of 100 are in a cooking club, what percentage of the students are in the club?

Solution:

Percentage in the club = 25 / 100 × 100 = 25%

X plus P% is what number?

Calculate the result when P% is added to X.

Solution Description: Multiply X by 1 plus P% (expressed as a decimal).

Example:

If a $100 item has a 20% price increase, what is the final price?

Solution:

Final price  = 100 ×  (1 + 0.20) = $120

X plus what % is Y?

Determine what percentage of X needs to be added to achieve Y.

Solution Description: Divide the difference (Y - X) by X, then multiply by 100.

Example:

If a student earned 45 points and wants to increase it to 60, what percentage improvement is needed?

Solution:

Percentage improvement =  (( 60 − 45 ) / 45 ) × 100 = 33.33%

What plus P% is Y?

Identify the original quantity when P% is added to it to result in Y.

Solution Description: Divide Y by 1 plus P% (expressed as a decimal).

Example:

If after a 15% increase, a new quantity is 115, what was the original quantity?

Solution:

Original quantity = 115 / ( 1 + 0.15 )  = 100

X minus P% is what number?

Calculate the result when P% is subtracted from X.

Solution Description: Multiply X by 1 minus P% (expressed as a decimal).

Example:

If a $120 item has a 10% discount, what is the final price?

Solution:

Final price = 120 × ( 1 - 0.10 ) = $108

X minus what % is Y?

Determine what percentage of X needs to be subtracted to achieve Y.

Solution Description: Divide the difference (X - Y) by X, then multiply by 100.

Example:

If a sale price is $90 and the original price is $120, what is the percentage discount?

Solution:

Percentage discount = (( 120 − 90 ) /120)  × 100 = 25%

What minus P% is Y?

Identify the original quantity when P% is subtracted from it to result in Y.

Solution Description: Divide Y by 1 minus P% (expressed as a decimal).

Example:

If after a 25% decrease, a new quantity is 75, what was the original quantity?

Solution:

Original quantity = 75 / ( 1 − 0.25 )  = 100