33.6 is what percent of 78.7 - 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 78.7 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 78.7, so we can write it down as 100%=78.7.
4. We know, that x% equals 33.6 of the output value, so we can write it down as x%=33.6.
5. Now we have two simple equations:
1) 100%=78.7
2) x%=33.6
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%=78.7/33.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.6 is what percent of 78.7

100%/x%=78.7/33.6
(100/x)*x=(78.7/33.6)*x       - we multiply both sides of the equation by x
100=2.3422619047619*x       - we divide both sides of the equation by (2.3422619047619) to get x
100/2.3422619047619=x
42.693773824651=x
x=42.693773824651

now we have:
33.6 is 42.693773824651% of 78.7