Percent Increase/Decrease (5.1)

Front

What is Percent Increase?

Back

Percent Increase is the amount of increase expressed as a percentage of the original amount. It is calculated using the formula: ((New Amount - Original Amount) / Original Amount) x 100.

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What is Percent Decrease?

Back

Percent Decrease is the amount of decrease expressed as a percentage of the original amount. It is calculated using the formula: ((Original Amount - New Amount) / Original Amount) x 100.

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How do you calculate the new amount after a percent decrease?

Back

To calculate the new amount after a percent decrease, use the formula: New Amount = Original Amount - (Original Amount x Percent Decrease).

Front

How do you calculate the new amount after a percent increase?

Back

To calculate the new amount after a percent increase, use the formula: New Amount = Original Amount + (Original Amount x Percent Increase).

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What is the formula for calculating percent change?

Back

Percent Change = ((New Value - Old Value) / Old Value) x 100.

Front

If a quantity decreases from 100 to 80, what is the percent decrease?

Back

Percent Decrease = ((100 - 80) / 100) x 100 = 20%.

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If a quantity increases from 50 to 75, what is the percent increase?

Back

Percent Increase = ((75 - 50) / 50) x 100 = 50%.

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What is the new amount if 200 workers increase by 10%?

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New Amount = 200 + (200 x 0.10) = 220 workers.

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What is the new amount if 300 zebras decrease by 25%?

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New Amount = 300 - (300 x 0.25) = 225 zebras.

Front

How do you find the original amount if you know the new amount and the percent change?

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Use the formula: Original Amount = New Amount / (1 + Percent Change) for increase, or Original Amount = New Amount / (1 - Percent Change) for decrease.