38% of n is 33.44. What is n?

1 Answer
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:

10038

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

10038×33.44=88

n=88

Or:

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

33.4438=0.88

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

0.88×100=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:

2×38=76

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

33.44×2=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.

38×2=76%

33.44×2=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 n88 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.