155.57 is what percent of 1731.2 - 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 1731.2 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 1731.2, so we can write it down as 100%=1731.2.
4. We know, that x% equals 155.57 of the output value, so we can write it down as x%=155.57.
5. Now we have two simple equations:
1) 100%=1731.2
2) x%=155.57
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%=1731.2/155.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 155.57 is what percent of 1731.2

100%/x%=1731.2/155.57
(100/x)*x=(1731.2/155.57)*x       - we multiply both sides of the equation by x
100=11.128109532686*x       - we divide both sides of the equation by (11.128109532686) to get x
100/11.128109532686=x
8.986252310536=x
x=8.986252310536

now we have:
155.57 is 8.986252310536% of 1731.2