Percent!

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What is a percentage?

Back

A percentage is a way of expressing a number as a fraction of 100. It is often used to compare relative sizes or to express how much of something there is in relation to a whole.

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How do you calculate a percentage of a number?

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To calculate a percentage of a number, multiply the number by the percentage (expressed as a decimal). For example, to find 20% of 50, calculate 50 * 0.20 = 10.

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What does it mean to find the original price after a discount?

Back

Finding the original price after a discount involves determining the price before the discount was applied. This can be calculated by dividing the amount saved by the discount rate (as a decimal) and adding that to the sale price.

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How do you find the total number of items when given a percentage?

Back

To find the total number of items when given a percentage, divide the number of items that represent the percentage by the percentage (expressed as a decimal). For example, if 12% of the total is 9, then total = 9 / 0.12 = 75.

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What is the formula for calculating the percentage increase or decrease?

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The formula for calculating percentage increase is: ((new value - old value) / old value) * 100. For percentage decrease, it is: ((old value - new value) / old value) * 100.

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What is a proportion?

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A proportion is an equation that states that two ratios are equal. It can be used to solve problems involving percentages by setting up a relationship between the part and the whole.

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How do you convert a percentage to a decimal?

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To convert a percentage to a decimal, divide the percentage by 100. For example, 25% as a decimal is 25 / 100 = 0.25.

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What is the relationship between a part and a whole in percentage problems?

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In percentage problems, the part represents the portion of the whole that is being considered, while the whole is the total amount from which the part is derived.

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How can you estimate the original price from a discount?

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To estimate the original price from a discount, you can use the formula: Original Price = Amount Saved / Discount Rate. For example, if $40 was saved at a 19% discount, the original price is approximately $200.

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What does it mean for a number to be a certain percentage of another number?

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When a number is a certain percentage of another number, it means that the first number represents that fraction of the second number. For example, if 12 is 30% of a number, it means that 12 is 30 out of every 100 parts of that number.