What is 75/200 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 75/200 into Percent.

75/200 as a percent is 37.5%

Method 1: Convert Fraction to Percent Directly

Step 1: Divide the numerator (75) by the denominator (200).

75 ÷ 200 = 0.375

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

0.375 × 100 = 37.5%

So, 75/200 as a percent is 37.5%.

Method 2: Convert Fraction to Decimal and Percent

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

75 ÷ 200 = 0.375

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

0.375 becomes 37.5.

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

The final result is 37.5%.

Method 3: Use Proportions to Find Percent

Step 1: Set up a proportion where 75/200 is equal to x/100.

75/200 = x/100

Step 2: Cross-multiply to solve for x.

75 × 100 = 200 × x

7500 = 200x

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

x = 7500 ÷ 200 = 37.5