discounts Percentage Calculator

    Percentage Calculator

    Calculate percentages, increases, decreases, and more

    20% of 100:20.00
    Increase by 20%:120.00
    Decrease by 20%:80.00

    Advertisement

    Reverse percentage formula

    To find the original value before a percentage increase or decrease was applied, use the reverse formula. For example, if a price increased 20% to $120, the original price was $120 ÷ 1.20 = $100.

    Original value = Final value ÷ (1 + percentage ÷ 100)

    Common percentage questions

    Is a 100% increase a doubling?

    Yes. A 100% increase means the value has increased by an amount equal to itself, which results in exactly double the original value.

    What is the difference between percentage change and percentage points?

    Percentage change is relative to the original value. Percentage points measure the absolute difference between two percentages. If a rate goes from 5% to 8%, that is 3 percentage points but a 60% increase.

    How do I calculate what percent one number is of another?

    Divide the part by the whole and multiply by 100. Example: 25 is what percent of 80? Answer: (25 ÷ 80) × 100 = 31.25%.

    How do you find the original number before a percentage was taken off?

    Divide the remaining amount by (1 minus the percentage as a decimal). Example: after a 30% discount the price is $70. Original: $70 ÷ 0.70 = $100.

    A percentage calculator finds a part of a whole, percent change between two values, or the whole from a part and a percent.

    How to Calculate Percentage

    1. Choose what to solve: percent of, change, or reverse
    2. Enter the known numbers (e.g. whole and percent)
    3. Leave the field you want blank or use calculate
    4. Read the result and round for display
    5. Use percent change for increases or decreases

    The Percentage Formula

    Part = (percent/100)×whole; percent change = ((new−old)/old)×100

    Where: symbols follow the inputs and conventions used in this calculator (principal, rates, terms, or units as labeled).

    Real-World Example

    15% of $80 is $12; a price rising from $80 to $92 is a 15% increase.

    Frequently Asked Questions

    How to calculate Percentage?
    Choose what to solve: percent of, change, or reverse Enter the known numbers (e.g. whole and percent) Leave the field you want blank or use calculate Read the result and round for display Use percent change for increases or decreases
    What is the formula for Percentage?
    Part = (percent/100)×whole; percent change = ((new−old)/old)×100
    Can you give a real-world Percentage example?
    15% of $80 is $12; a price rising from $80 to $92 is a 15% increase.