36.72 is what percent of 555.29 - 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 555.29 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 555.29, so we can write it down as 100%=555.29.
4. We know, that x% equals 36.72 of the output value, so we can write it down as x%=36.72.
5. Now we have two simple equations:
1) 100%=555.29
2) x%=36.72
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%=555.29/36.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.72 is what percent of 555.29

100%/x%=555.29/36.72
(100/x)*x=(555.29/36.72)*x       - we multiply both sides of the equation by x
100=15.122276688453*x       - we divide both sides of the equation by (15.122276688453) to get x
100/15.122276688453=x
6.6127608997101=x
x=6.6127608997101

now we have:
36.72 is 6.6127608997101% of 555.29