108.24 is what percent of 359.04 - 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 359.04 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 359.04, so we can write it down as 100%=359.04.
4. We know, that x% equals 108.24 of the output value, so we can write it down as x%=108.24.
5. Now we have two simple equations:
1) 100%=359.04
2) x%=108.24
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%=359.04/108.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 108.24 is what percent of 359.04

100%/x%=359.04/108.24
(100/x)*x=(359.04/108.24)*x       - we multiply both sides of the equation by x
100=3.3170731707317*x       - we divide both sides of the equation by (3.3170731707317) to get x
100/3.3170731707317=x
30.147058823529=x
x=30.147058823529

now we have:
108.24 is 30.147058823529% of 359.04