7.52 is what percent of 158 - 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 158 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 158, so we can write it down as 100%=158.
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%=158
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%=158/7.52
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 158

100%/x%=158/7.52
(100/x)*x=(158/7.52)*x       - we multiply both sides of the equation by x
100=21.010638297872*x       - we divide both sides of the equation by (21.010638297872) to get x
100/21.010638297872=x
4.7594936708861=x
x=4.7594936708861

now we have:
7.52 is 4.7594936708861% of 158