7.52 is what percent of 36.23 - 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 36.23 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 36.23, so we can write it down as 100%=36.23.
4. We know, that x% equals 7.52 of the output value, so we can write it down as x%=7.52.
5. Now we have two simple equations:
1) 100%=36.23
2) x%=7.52
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%=36.23/7.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.52 is what percent of 36.23

100%/x%=36.23/7.52
(100/x)*x=(36.23/7.52)*x       - we multiply both sides of the equation by x
100=4.8178191489362*x       - we divide both sides of the equation by (4.8178191489362) to get x
100/4.8178191489362=x
20.756279326525=x
x=20.756279326525

now we have:
7.52 is 20.756279326525% of 36.23