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:

#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.