What is 175/200 as a percent?

To convert a fraction to a percent, divide the numerator by the denominator to get a decimal, then multiply the result by 100. This gives the equivalent percentage of the fraction.

Convert the Fraction 175/200 into Percent.

175/200 as a percent is 87.5%

Method 1: Convert Fraction to Percent Directly

Step 1: Divide the numerator (175) by the denominator (200).

175 ÷ 200 = 0.875

Step 2: Multiply the result by 100 to convert to a percentage.

0.875 × 100 = 87.5%

So, 175/200 as a percent is 87.5%.

Method 2: Convert Fraction to Decimal and Percent

Step 1: First, convert the fraction to a decimal by dividing the numerator by the denominator.

175 ÷ 200 = 0.875

Step 2: Move the decimal point two places to the right to get the percentage.

0.875 becomes 87.5.

Step 3: Add a percent sign (%) to the result.

The final result is 87.5%.

Method 3: Use Proportions to Find Percent

Step 1: Set up a proportion where 175/200 is equal to x/100.

175/200 = x/100

Step 2: Cross-multiply to solve for x.

175 × 100 = 200 × x

17500 = 200x

Step 3: Divide both sides by 200 to solve for x.

x = 17500 ÷ 200 = 87.5