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Percentages

Percentages are everywhere — sales, test scores, statistics. Here's how they work, then some practice.

What a percentage is

Per cent means "per hundred". A percentage is just a fraction out of 100. For example, 50% = 50/100 = one half. So 50% of a class of 30 students is 15 students.

Finding X% of an amount

To find a percentage of an amount, turn the percentage into a decimal and multiply. For example, to find 20% of 150: 20% = 20/100 = 0.2, and 0.2 × 150 = 30.

Percentage increase and decrease

For a decrease, work out the percentage and take it away. A sale of 25% off a $80 pair of shoes: 25% of $80 = $20, so the sale price is $80 − $20 = $60.

An increase works the same way, but you add it on. A $40 ticket that goes up by 15%: 15% of $40 = $6, so the new price is $40 + $6 = $46.

Practice

Warming up your practice…