168.07 is what percent of 1832.5 - 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 1832.5 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 1832.5, so we can write it down as 100%=1832.5.
4. We know, that x% equals 168.07 of the output value, so we can write it down as x%=168.07.
5. Now we have two simple equations:
1) 100%=1832.5
2) x%=168.07
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%=1832.5/168.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 168.07 is what percent of 1832.5

100%/x%=1832.5/168.07
(100/x)*x=(1832.5/168.07)*x       - we multiply both sides of the equation by x
100=10.903195097281*x       - we divide both sides of the equation by (10.903195097281) to get x
100/10.903195097281=x
9.1716234652115=x
x=9.1716234652115

now we have:
168.07 is 9.1716234652115% of 1832.5