34.09 is what percent of 79.35 - 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 79.35 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 79.35, so we can write it down as 100%=79.35.
4. We know, that x% equals 34.09 of the output value, so we can write it down as x%=34.09.
5. Now we have two simple equations:
1) 100%=79.35
2) x%=34.09
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%=79.35/34.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.09 is what percent of 79.35

100%/x%=79.35/34.09
(100/x)*x=(79.35/34.09)*x       - we multiply both sides of the equation by x
100=2.3276620709886*x       - we divide both sides of the equation by (2.3276620709886) to get x
100/2.3276620709886=x
42.961562696912=x
x=42.961562696912

now we have:
34.09 is 42.961562696912% of 79.35