Question

Express the first quantity as a percentage of the second quantity.

(a) 2 years, 18 months (b) 225mm, 20cm

Answer 1

Part a)133.3%

Part b)112.5%

Explanation:

Part a) We want to express 2 years as a percentage of 18 months.

Make sure both quantities are of the same units.

1 year =12 months

This means

2 years =24 months.

We want to express 24 months as a percentage of 18 months.

The number that comes after of will be in the denominator.

`(24)/(18) * 100\% = 1.333 * 100\% = 133.3\%`

Part 2)

We want to express 225mm as a percentage of 20cm.

10mm= 1 cm

This means

200mm= 20cm

We want to express 225mm as a percentage of 200mm

`= (225)/(200) * 100\% = 112.5\%`