177.35 is what percent of 502 - 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 502 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 502, so we can write it down as 100%=502.
4. We know, that x% equals 177.35 of the output value, so we can write it down as x%=177.35.
5. Now we have two simple equations:
1) 100%=502
2) x%=177.35
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%=502/177.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 177.35 is what percent of 502

100%/x%=502/177.35
(100/x)*x=(502/177.35)*x       - we multiply both sides of the equation by x
100=2.8305610374965*x       - we divide both sides of the equation by (2.8305610374965) to get x
100/2.8305610374965=x
35.328685258964=x
x=35.328685258964

now we have:
177.35 is 35.328685258964% of 502