1.17 is what percent of 200.57 - 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 200.57 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 200.57, so we can write it down as 100%=200.57.
4. We know, that x% equals 1.17 of the output value, so we can write it down as x%=1.17.
5. Now we have two simple equations:
1) 100%=200.57
2) x%=1.17
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%=200.57/1.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.17 is what percent of 200.57

100%/x%=200.57/1.17
(100/x)*x=(200.57/1.17)*x       - we multiply both sides of the equation by x
100=171.42735042735*x       - we divide both sides of the equation by (171.42735042735) to get x
100/171.42735042735=x
0.58333748815875=x
x=0.58333748815875

now we have:
1.17 is 0.58333748815875% of 200.57