72.32 is what percent of 156.65 - 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 156.65 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 156.65, so we can write it down as 100%=156.65.
4. We know, that x% equals 72.32 of the output value, so we can write it down as x%=72.32.
5. Now we have two simple equations:
1) 100%=156.65
2) x%=72.32
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%=156.65/72.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72.32 is what percent of 156.65

100%/x%=156.65/72.32
(100/x)*x=(156.65/72.32)*x       - we multiply both sides of the equation by x
100=2.1660674778761*x       - we divide both sides of the equation by (2.1660674778761) to get x
100/2.1660674778761=x
46.166613469518=x
x=46.166613469518

now we have:
72.32 is 46.166613469518% of 156.65