23.15 is what percent of 172.41 - 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 172.41 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 172.41, so we can write it down as 100%=172.41.
4. We know, that x% equals 23.15 of the output value, so we can write it down as x%=23.15.
5. Now we have two simple equations:
1) 100%=172.41
2) x%=23.15
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%=172.41/23.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.15 is what percent of 172.41

100%/x%=172.41/23.15
(100/x)*x=(172.41/23.15)*x       - we multiply both sides of the equation by x
100=7.4475161987041*x       - we divide both sides of the equation by (7.4475161987041) to get x
100/7.4475161987041=x
13.427295400499=x
x=13.427295400499

now we have:
23.15 is 13.427295400499% of 172.41