# 38% of n is 33.44. What is n?

Jan 18, 2018

$n = 88$

#### Explanation:

If you have a calculator……

As 38%=33.44 we want to find 100%. A good way to do this is...

Divide $100$ by the percentage already given:

$\frac{100}{38}$

The multiply the given value of the percentage by the previous answer:

$\frac{100}{38} \times 33.44 = 88$

color(red)(n = 88

Or:

Divide the given value by the different percentage to give 1%

$\frac{33.44}{38} = 0.88$

Then multiply this by $100$ to give 100% or N:

$0.88 \times 100 = 88$

Without calculator:

We need to split up the value/percentage into smaller values, then add them up to get 100% (N). But first we need to figure out how many times $38$ can go into $100$ fully, which is $2$ So:

$2 \times 38 = 76$

As the value of 38% is $33.44$ multiply this by $2$

$33.44 \times 2 = 66.88$

Therefore we need to split up our current percentages to find an extra 24%.

38%=33.44
19%=16.72 ( / 2)
9.5%=8.36 ( /2)  4.75%=4.18 ( /2) 

Keep doing this till you find percentages that add up to 100%. In this instance it is very hard to do without using extensive division or a calculator, I could show you this but it would be much longer so therefore I'm going to roughly estimate.

38 xx 2=76%

$33.44 \times 2 = 66.88$

+19%

=> 78%+19%=95%

=> $66.88 + 16.72 = 83.6$

95%+4.75%=99.75%#

=> $83.6 + 4.18 = 87.78$

So therefore we could roughly estimate that $n \approx 88$ from this.

I am guessing this is a calculator question so the first method is more efficient, and this method is only an estimate but if it is a non calculator question it would involve heavy division. If you need a guide on that just say.