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"If X is Y% of a number, what is the original number?"
Tips, discounts, tax, percentage change, what % is X of Y โ seven types of calculations with step-by-step explanations.
"If X is Y% of a number, what is the original number?"
A percentage is simply a fraction out of 100. "25%" means 25 per 100, or 0.25 as a decimal. To find X% of Y, multiply Y by X/100. For example, 20% of $85 = 85 ร 0.20 = $17.
Percentage change measures how much a value increased or decreased from a starting point. Percentage difference compares two values without a starting point โ it uses the average of both as the base.
To calculate a 20% tip mentally: move the decimal point one place left to get 10%, then double it. On a $65 bill: 10% = $6.50, doubled = $13. Done in seconds.
Sales tax varies by US state from 0% (Oregon, Montana, New Hampshire) to over 10% in some cities. To calculate the tax-inclusive price: multiply the pre-tax price by (1 + tax rate). A $100 item with 8.5% tax = $108.50.