172.92 is what percent of 760 - 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 760 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 760, so we can write it down as 100%=760.
4. We know, that x% equals 172.92 of the output value, so we can write it down as x%=172.92.
5. Now we have two simple equations:
1) 100%=760
2) x%=172.92
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%=760/172.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 172.92 is what percent of 760

100%/x%=760/172.92
(100/x)*x=(760/172.92)*x       - we multiply both sides of the equation by x
100=4.3950959981494*x       - we divide both sides of the equation by (4.3950959981494) to get x
100/4.3950959981494=x
22.752631578947=x
x=22.752631578947

now we have:
172.92 is 22.752631578947% of 760