33.5 is what percent of 113.8 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 113.8 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 113.8, so we can write it down as 100%=113.8.
4. We know, that x% equals 33.5 of the output value, so we can write it down as x%=33.5.
5. Now we have two simple equations:
1) 100%=113.8
2) x%=33.5
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=113.8/33.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.5 is what percent of 113.8

100%/x%=113.8/33.5
(100/x)*x=(113.8/33.5)*x       - we multiply both sides of the equation by x
100=3.3970149253731*x       - we divide both sides of the equation by (3.3970149253731) to get x
100/3.3970149253731=x
29.437609841828=x
x=29.437609841828

now we have:
33.5 is 29.437609841828% of 113.8