109.13 is what percent of 152 - 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 152 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 152, so we can write it down as 100%=152.
4. We know, that x% equals 109.13 of the output value, so we can write it down as x%=109.13.
5. Now we have two simple equations:
1) 100%=152
2) x%=109.13
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%=152/109.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.13 is what percent of 152

100%/x%=152/109.13
(100/x)*x=(152/109.13)*x       - we multiply both sides of the equation by x
100=1.3928342343993*x       - we divide both sides of the equation by (1.3928342343993) to get x
100/1.3928342343993=x
71.796052631579=x
x=71.796052631579

now we have:
109.13 is 71.796052631579% of 152