34.52 is what percent of 359.94 - 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 359.94 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 359.94, so we can write it down as 100%=359.94.
4. We know, that x% equals 34.52 of the output value, so we can write it down as x%=34.52.
5. Now we have two simple equations:
1) 100%=359.94
2) x%=34.52
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%=359.94/34.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.52 is what percent of 359.94

100%/x%=359.94/34.52
(100/x)*x=(359.94/34.52)*x       - we multiply both sides of the equation by x
100=10.426998841251*x       - we divide both sides of the equation by (10.426998841251) to get x
100/10.426998841251=x
9.5904873034395=x
x=9.5904873034395

now we have:
34.52 is 9.5904873034395% of 359.94