What is 1 17/20 as a percent?

Method 1: Convert Fraction to Percent Directly

Step 1: Convert the mixed fraction 1 17/20 into an improper fraction. Multiply the whole number by the denominator and add the numerator:

1 × 20 + 17 = 37, so the fraction is 37/20.

Step 2: Divide the numerator (37) by the denominator (20).

37 ÷ 20 = 1.85

Step 3: Multiply the result by 100 to convert to a percentage.

1.85 × 100 = 185%

So, 1 17/20 as a percent is 185%.

Method 2: Convert Fraction to Decimal and Percent

Step 1: First, convert the mixed fraction 1 17/20 into an improper fraction.

1 17/20 = 37/20

Step 2: Divide the numerator by the denominator to get a decimal.

37 ÷ 20 = 1.85

Step 3: Move the decimal point two places to the right to get the percentage.

1.85 becomes 185.

Step 4: Add a percent sign (%) to the result.

The final result is 185%.

Method 3: Use Proportions to Find Percent

Step 1: Set up a proportion where 37/20 is equal to x/100.

37/20 = x/100

Step 2: Cross-multiply to solve for x.

37 × 100 = 20 × x

3700 = 20x

Step 3: Divide both sides by 20 to solve for x.

x = 3700 ÷ 20 = 185

So, 1 17/20 as a percent is 185%.