# What is 115% of 600?

Sep 11, 2016

115% of $600$ is $690$

#### Explanation:

115% is equivalent to the fraction $\frac{115}{100}$.

Hence 115% of $600$ is equivalent to $\frac{115}{100}$ of $600$

i.e. $\frac{115}{100} \times 600$

= $\frac{115}{{\left(\cancel{100}\right)}^{1}} \times {\cancel{600}}^{6}$

= $115 \times 6$

= $690$

Sep 18, 2016

$\frac{115}{100} \cdot 600$
$115 \cdot 6$
$690$

Sep 19, 2016

$600 + 90 = 690$

#### Explanation:

115%" means the full amount of 600 and then another 15% as well.

This puzzles many people because they think of a percentage as only being less than 100%

The quickest method as shown elsewhere as well is:

$\frac{115}{100} \times 600$

=$690$

But it might be clearer what it means if we do 2 calculations.

100% xx 600 = 600

15% xx 600 = 90

(100%+15%) xx 600 = 600+90 = 690

It is worth noting that 115% can be considered as a improper fraction where the numerator is bigger than the denominator.

Multiplication by an improper fraction always increases the number.

$600 \times \frac{115}{100} = 690 \text{ }$(which is an increase from 600)

Sep 21, 2016

$690$

#### Explanation:

In this context the word 'of' means multiply

$\textcolor{b l u e}{\text{Concept 1}}$

So 115% of 600 is the same as 115%xx600#

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$\textcolor{b l u e}{\text{Concept 2}}$

Lets consider what % means. It is the units of measurement
In the same way that if we had 30 cm the cm is the units of measurement for the 30. It is stating what we are counting.

So % as units of measurement is $\frac{1}{100}$

So 115% $\to 115 \times \frac{1}{100}$

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

$\textcolor{b l u e}{\text{Answering the question}}$

For this question we have: 115% of 600 $\to 115 \times \frac{1}{100} \times 600$

$115 \times \frac{600}{100} \text{ " ->" } 115 \times 6 \times \frac{100}{100}$

$115 \times 6 \times 1 = 690$