72.24 is what percent of 155.127 - 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 155.127 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 155.127, so we can write it down as 100%=155.127.
4. We know, that x% equals 72.24 of the output value, so we can write it down as x%=72.24.
5. Now we have two simple equations:
1) 100%=155.127
2) x%=72.24
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%=155.127/72.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72.24 is what percent of 155.127

100%/x%=155.127/72.24
(100/x)*x=(155.127/72.24)*x       - we multiply both sides of the equation by x
100=2.1473837209302*x       - we divide both sides of the equation by (2.1473837209302) to get x
100/2.1473837209302=x
46.568295654528=x
x=46.568295654528

now we have:
72.24 is 46.568295654528% of 155.127