176.5 is what percent of 504 - 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 504 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 504, so we can write it down as 100%=504.
4. We know, that x% equals 176.5 of the output value, so we can write it down as x%=176.5.
5. Now we have two simple equations:
1) 100%=504
2) x%=176.5
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%=504/176.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 176.5 is what percent of 504

100%/x%=504/176.5
(100/x)*x=(504/176.5)*x       - we multiply both sides of the equation by x
100=2.8555240793201*x       - we divide both sides of the equation by (2.8555240793201) to get x
100/2.8555240793201=x
35.019841269841=x
x=35.019841269841

now we have:
176.5 is 35.019841269841% of 504