Know increased percentage

Question

I have to percentages 15%and 85%in total 100%:

When I want to change the 15% to 35% i calculate:

35 / 15 = 2.3333333

Next I calculate: 15 * 2.3333 = 35

Now what I want to know if:

By only knowing the percentage 233.3333% with that I had to multiplicate my 15% I can guess the percentage I have to duplicate with 35% to end with in total 100%:

Means:

I only know 35% and 233.3333% and now I want to know:

 35 * ?? =

Thanks!!

@John Smith Please elaborate a little more what do you really need. — yellow_submarine, May 02 '15 at 20:12
@John Smith Do you want to calculate back 15% given both 35% and 2.333333? You ought to divide 35 by 2.3333333 — yellow_submarine, May 02 '15 at 20:15
When I know that I increased some percentage by 233.33% to come to 30% Can I know from that how much percentage I have decrease the other part to come to 100% ? — John Smith, May 02 '15 at 20:16
@MarceloUchimura ho can I come back from 35 to 15 wich percentag is ist? — John Smith, May 02 '15 at 20:24
@John Smith Just divide the number by 2.3333333, which will yield 15% back — yellow_submarine, May 02 '15 at 20:26

yellow_submarine · Accepted Answer · 2015-05-02T21:32:56.463

0

You have got a percentage by which you increase a number, and wants to go back to the original number by multiplying a new percentage, right? This new percentage is equal to the inverse of the one you firstly used to increase the number, $$new\space percentage=\frac{1}{233.3333\text{%}}=\frac{1}{2.333333}=42.86\text{%}$$

edited May 02 '15 at 21:32

answered May 02 '15 at 20:28

yellow_submarine

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Know increased percentage

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