Express a quantity as a percentage

Question 1

How do we express A as a percentage of B

Answer 1

We divide A by B and then multiply by 100

A/B * 100

quantities must be in the same units

Question 2

Express 2 cm as a percentage of 1 m

2/1 * 100 = 200%

What is wrong with this?

Answer 2

2 cm and 1 m are different measurements

we must either convert 2 cm to 0.02 m

or convert 1 m to 100 cm

Correct answer is 2/100 * 100 = 2%

Question 3

Express 2 as a percentage of 10

Answer 3

2/10 * 100

= 20%

Question 4

Express $3 as a percentage of $20

Answer 4

3/20 * 100

= 15 %

Question 5

Express 45 cm as a percentage of 2 m

Answer 5

2 m = 200 cm

45/200 * 100

= 22.5 %

Question 6

Express 3 kg as a percentage of 500 g

Answer 6

3 kg = 3000 g

3000/500 * 100

= 600 %