3C

Finding percentages and expressing as a percentage

Converting between fractions, decimals and percentages, finding a percentage of a quantity, and writing one quantity as a percentage of another.

Percentage of a quantity

Percentage of an amount
$$\frac{r}{100} \times \text{amount}$$
Example 1●

Find $35\%$ of $\$260$.

$0.35 \times 260 = 91$, so $\$91$.

As a percentage

As a percentage
$$\frac{\text{part}}{\text{whole}} \times 100\%$$
Example 2●●

Express $45$ minutes as a percentage of $2$ hours.

Same units: $2$ h $= 120$ min.
$\dfrac{45}{120} \times 100\% = 37.5\%$
Flashcards
$12 frac{1}{2}%$ as a fraction
$\tfrac{1}{8}$
$35%$ of 260
$91$
Express as %
part ÷ whole × 100%, same units
Practice
  1. Find $35\%$ of $\$260$ (dollars).

  2. Express $45$ min as a percentage of $2$ h (number only).

  3. Find $12\%$ of $150$.

  4. Express $\$48$ as a percentage of $\$60$ (number only).

  5. Find $0.5\%$ of $500$.

  6. Express $250$ g as a percentage of $1$ kg (number only).

  7. Express $\$90$ as a percentage of $\$60$ (number only).

  8. Which is equal to $0.4\%$?

More questions

New numbers every time. Keep going until you get five in a row.

Formula sheet