Question

Express the first quantity as a percentage of the second quantity for the following pairs:

(1) 1 kg, 800 g
(2) 60 inches, 360 inches
(3) 63 cents, $2.10

Answer 1

To calculate the percentage of one quantity relative to another, both quantities must be in the same units. For example, 1 kg is 125% of 800 g, 60 inches is 16.67% of 360 inches, and 63 cents is 30% of $2.10.

Step-by-step explanation:

To express the first quantity as a percentage of the second quantity for the following pairs:

1. For 1 kg in comparison to 800 g, first ensure both quantities are in the same unit (grams). Since 1 kg is equal to 1000 g, you would calculate 1000 g / 800 g = 1.25, then multiply by 100 to get the percentage, which equals 125%.
2. For 60 inches in comparison to 360 inches, divide 60 by 360 and multiply by 100 to get the percentage. This equals 16.67% (rounded to two decimal places).
3. For 63 cents in comparison to $2.10, first convert $2.10 to cents, which is 210 cents. Then, calculate 63 cents / 210 cents and multiply by 100 to get the percentage, which is 30%.