Online Percentage Calculator for free.

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What is X% of Y?

X (Percentage)

Y (Number)

Show me the Formula.

What is X% off Y?

X (Discount %)

Y (Original Price)

Show me the Formula.

X is what percent of Y?

X (Part)

Y (Whole)

Show me the Formula.

Percentage Increase/Decrease

Initial Value

Final Value

Show me the Formula.

X% of Y is what?

X (Percentage)

Result

Show me the Formula.

About

Our free percentage calculator solver lets you quickly calculate various percentage problems. Whether you need to find what percent one number is of another, calculate percentage increase or decrease, or determine a percentage of a given number, our tool provides instant results..

How Are Percentages Calculated:

To calculate X% of Y:

\[ \left( \frac{X}{100} \right) \times Y \]

To calculate X% off Y:

The calculation involves two simple steps:

1. Calculate the discount amount:

\[ \text{Discount} = \left( \frac{X}{100} \right) \times Y \]

2. Subtract from original price:

\[ \text{Final Price} = Y - \text{Discount} \]

or equivalently:

\[ \text{Final Price} = Y \times \left(1 - \frac{X}{100}\right) \]

Example: What is 20% off $50?

Step 1: Calculate discount

\[ \left( \frac{20}{100} \right) \times 50 = 0.2 \times 50 = 10 \]

Step 2: Subtract discount

\[ 50 - 10 = 40 \]

Final Price: $40 (You save $10)

To calculate what percent X is of Y:

\[ \left( \frac{X}{Y} \right) \times 100 \]

To calculate percentage change:

\[ \left( \frac{\text{New} - \text{Old}}{\text{Old}} \right) \times 100 \]

To calculate Percentage Increase/Decrease Formula

\[ \text{ (\%) Change } = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \times 100 \]

Interpretation:
- Positive result → Increase
- Negative result → Decrease

Example 1: Percentage Increase

Old Value: $50

New Value: $75

Calculation:

\[ \left( \frac{75 - 50}{50} \right) \times 100 = 50\% \]

Result: 50% increase

Example 2: Percentage Decrease

Old Value: 80

New Value: 64

Calculation::

\[ \left( \frac{64 - 80}{80} \right) \times 100 = -20\% \]

Result: 20% decrease

Faq

What is a percentage?

Answer:

A percentage is a way to express a number as a fraction of 100. The symbol "%" means "per hundred."

Example:

\[ 25\% = \frac{25}{100} = 0.25 \]

How to calculate percentage formula?

Answer:

The percentage formula is used to find the share of a whole in terms of 100. The formula is:

\[ \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100\% \]

Part is the portion of the whole you want to express as a percentage
Whole is the total or complete amount

Example: If you have 25 apples out of 100 total fruits, the percentage of apples is:

\[ \left( \frac{25}{100} \right) \times 100\% = 25\% \]

How do I convert a fraction to a percentage?

Answer:

Divide the numerator by the denominator, then multiply by 100.

Example:

\[ \frac{3}{4} \rightarrow 3 \div 4 = 0.75 \rightarrow 0.75 \times 100 = 75\% \]

How do I convert a decimal to a percentage?

Answer:

Multiply the decimal by 100 and add the % sign.

Example:

\[ 0.75 \rightarrow 0.75 \times 100 = 75\% \]

What's the difference between percentage points and percent?

Answer:

Percentage points (pp): Measure absolute change

\[ 5\% \text{ to } 10\% = +5 \text{ pp} \]

Percent change: Measures relative difference

\[ \frac{10 - 5}{5} \times 100 = 100\% \text{ increase} \]

Can percentages be over 100%?

Answer:

Yes! Percentages over 100% mean the value exceeds the whole.

Example:

If sales grow from $100 to $300:

\[ \frac{300 - 100}{100} \times 100 = 200\% \text{ increase} \]