172.92 is what percent of 864.16 - 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 864.16 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 864.16, so we can write it down as 100%=864.16.
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%=864.16
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%=864.16/172.92
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 864.16

100%/x%=864.16/172.92
(100/x)*x=(864.16/172.92)*x       - we multiply both sides of the equation by x
100=4.9974554707379*x       - we divide both sides of the equation by (4.9974554707379) to get x
100/4.9974554707379=x
20.010183299389=x
x=20.010183299389

now we have:
172.92 is 20.010183299389% of 864.16