175.93 is what percent of 207.5 - 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 207.5 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 207.5, so we can write it down as 100%=207.5.
4. We know, that x% equals 175.93 of the output value, so we can write it down as x%=175.93.
5. Now we have two simple equations:
1) 100%=207.5
2) x%=175.93
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%=207.5/175.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 175.93 is what percent of 207.5

100%/x%=207.5/175.93
(100/x)*x=(207.5/175.93)*x       - we multiply both sides of the equation by x
100=1.1794463707156*x       - we divide both sides of the equation by (1.1794463707156) to get x
100/1.1794463707156=x
84.785542168675=x
x=84.785542168675

now we have:
175.93 is 84.785542168675% of 207.5