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30 Out of 45 As a Percentage OR

# 30 Out of 45 As a Percentage

See the most common types of percentage questions in English language below. Practise with these questions and then test your skill by answering the questions on the topic below.

### Step

One area that often catches people out is year-on-year percentage increases. For example, Freya has £10 and each year this increases by 5%. How much will she have after 3 years? Some people can be tempted to add together the 5% for the 3 years i.e. 15% and multiply the £10 by 15% giving £11.5. This is incorrect. The correct way of approaching questions like this is to remember that EACH year the initial £10 increased by 5%. So at the end of year 1, Freya would have £10 x 1.05 = £10.5. At the end of year 2, she would have £10.5 x 1.05 = 11.025, and so on. It is important to add in each of these steps to arrive at the correct answer.

Step 2: We write $$\frac{0.45}{1}$$ as an equivalent fraction over $$100$$. To do this we multiply the numerator and the denominator by $$100$$: $\frac{0.45}{1} = \frac{0.45 \times 100}{1\times 100} = \frac{45}{100}$ Finally, since $$\frac{45}{100} = 45\%$$ we can state that $$18$$ is $$45\%$$ of $$40$$. (Source: www.radfordmathematics.com)

### Divide

As a number, 100 is very convenient compared with varying fractions. You can divide evenly it by 1, 2, 4, 5, and 10, which are easy numbers to remember. But notice that it isn’t divisible by 3, 6, 7, and 9. Once you convert them, you encounter the awkwardness of repeating decimals. Rounded off to 4 decimal places, 100/3 is 33.3333(…).

It is forgivable to assume that the percentage sign "%" depicts a fraction. It does look like one at first glance, as does the division symbol, the obelus (÷). You may also question why the symbol has two zeroes in it. After all, isn’t dividing by zero undefined? Some sources claim that the two circles represent a shorthand for one hundred. That, while sort-of true, is not the whole story. The story behind it is much more complex. (Source: www.calculators.org)

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