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How do you convert degrees to percents

User Pierce
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2 Answers

5 votes

Final answer:

To convert a proportion to a percent, divide the part by the whole and multiply by 100. When converting a fraction to a percent, first convert it to a decimal, and then multiply by 100. To convert a decimal to a percent, move the decimal point two places to the right.

Step-by-step explanation:

To convert degrees to percents, one needs to understand that degrees and percents are separate units of measure. If by 'degrees,' the question refers to angles, then it does not directly translate to a percentage. However, if we want to convert a proportion (expressed in 'parts per whole') into a percent, then you can divide the part (numerator) by the whole (denominator) and multiply by 100. For instance, to find what percentage 50 degrees is of a full circle (360 degrees), we would calculate (50÷360) × 100 = 13.89%.

When converting a fraction to a percent, you would first convert it to a decimal by dividing the top number (numerator) by the bottom number (denominator), and then multiply by 100. For example, to convert the fraction 5/8 to a percent, you would calculate (5÷8) × 100, which equals 62.5%.

To convert a decimal to a percent directly, you can move the decimal point two places to the right and add the percent symbol. For instance, to convert 0.678 to a percent, you move the decimal two places to the right, which would be 67.8%.

User DespeiL
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4 votes

Answer:

Step-by-step explanation:

A circle has 360 degrees, so if you want to express an angle in terms of a percentage, just divide the angle measurement (in degrees) by 360 and multiply by 100. In reverse, divide the percentage by 100 and multiply by 360.

User Tomsp
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