Question

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

Answer 1

`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:

`100/38`

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

`100/38 xx 33.44=88`

`color(red)(n = 88`

Or:

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

`33.44/38=0.88`

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

`0.88 xx 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 xx 38=76`

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

`33.44 xx 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 xx 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~~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.