Calculate percentages, find what percent one number is of another, and determine percentage changes.
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The result will be explained here.
The formula will be shown here.
Understanding percentage calculations is essential for many everyday situations:
This calculation finds a specific percentage of a given value. Common uses include discounts, taxes, and portions.
Formula:
Result = (X / 100) × Y
Example:
What is 25% of 80?
Result = (25 / 100) × 80 = 0.25 × 80 = 20
This calculation determines what percentage one value is of another value. Useful for comparing parts to wholes.
Formula:
Result = (X / Y) × 100
Example:
15 is what percent of 60?
Result = (15 / 60) × 100 = 0.25 × 100 = 25%
Percentage change measures how much a value has increased or decreased as a percentage of the original value.
Formula:
Percentage Change = ((Y - X) / X) × 100
Example:
The percentage change from 50 to 75:
Change = ((75 - 50) / 50) × 100 = (25 / 50) × 100 = 50% increase
The percentage change from 100 to 80:
Change = ((80 - 100) / 100) × 100 = (-20 / 100) × 100 = -20% (a decrease of 20%)
To calculate a discount, find the percentage of the original price and then subtract it from the original price. For example, for a 20% discount on a $50 item: 20% of $50 = $10 (the discount), and $50 - $10 = $40 (the sale price).
To calculate a tip, find the percentage of the bill. For example, for a 15% tip on a $60 bill: 15% of $60 = $9. You can use the "What is X% of Y?" calculator for this.
Percentage point change is the absolute difference between two percentages, while percentage change is the relative change. For example, if approval ratings change from 40% to 50%, that's a 10 percentage point increase, but a 25% increase (because (50-40)/40 = 0.25 or 25%).
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