36.53 is what percent of 1502.08 - 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 1502.08 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 1502.08, so we can write it down as 100%=1502.08.
4. We know, that x% equals 36.53 of the output value, so we can write it down as x%=36.53.
5. Now we have two simple equations:
1) 100%=1502.08
2) x%=36.53
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%=1502.08/36.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.53 is what percent of 1502.08

100%/x%=1502.08/36.53
(100/x)*x=(1502.08/36.53)*x       - we multiply both sides of the equation by x
100=41.119080208048*x       - we divide both sides of the equation by (41.119080208048) to get x
100/41.119080208048=x
2.4319610140605=x
x=2.4319610140605

now we have:
36.53 is 2.4319610140605% of 1502.08