Know increased percentage

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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!!

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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, $$new\space percentage=\frac{1}{233.3333\text{%}}=\frac{1}{2.333333}=42.86\text{%}$$