99.96 is what percent of 175 - 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 175 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 175, so we can write it down as 100%=175.
4. We know, that x% equals 99.96 of the output value, so we can write it down as x%=99.96.
5. Now we have two simple equations:
1) 100%=175
2) x%=99.96
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%=175/99.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 99.96 is what percent of 175

100%/x%=175/99.96
(100/x)*x=(175/99.96)*x       - we multiply both sides of the equation by x
100=1.750700280112*x       - we divide both sides of the equation by (1.750700280112) to get x
100/1.750700280112=x
57.12=x
x=57.12

now we have:
99.96 is 57.12% of 175