#### Percentages

*Percentage*or*per cent*means hundredths. ∴ 34% is another way of writing^{34}/_{100}- The symbol ‘%’ is short for per cent.
- To change a percentage to a fraction, write it as a fraction of 100 and reduce it to its lowest terms, where possible.
- To change a fraction to a percentage, multiply the fraction by 100.
- To express a quantity as a percentage of another:
- make sure they are in the same units,
- express the first as a fraction of the second,
- multiply the fraction by 100.

__Examples__

__Examples__

- Express 15% as a fraction in its lowest terms.
- 15% =
^{15}/_{100}=^{3 × 5}/_{20 × 5}=^{3}/_{20}

- 15% =
- Express
^{2}/_{5}as a percentage.^{2}/_{5}=^{2 × 20}/_{5 × 20}- =
^{40}/_{100} - = 40%

- A worker hammers a post 2.2 m long into the ground. 66 cm of the post is below the ground. What percentage of the post is above the ground?
- Fraction of post below the ground =
^{66 cm}/_{2.2 m}=^{66 cm}/_{220 cm}=^{66}/_{220} - Percentage of the post below the ground =
^{66}/_{220}× 100% =^{6}/_{20}× 100 = 30% - ∴ Percentage of post above the ground = 100% – 30% = 70%

- Fraction of post below the ground =