174.69 is what percent of 466.58 - 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 466.58 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 466.58, so we can write it down as 100%=466.58.
4. We know, that x% equals 174.69 of the output value, so we can write it down as x%=174.69.
5. Now we have two simple equations:
1) 100%=466.58
2) x%=174.69
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%=466.58/174.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 174.69 is what percent of 466.58

100%/x%=466.58/174.69
(100/x)*x=(466.58/174.69)*x       - we multiply both sides of the equation by x
100=2.6709027420001*x       - we divide both sides of the equation by (2.6709027420001) to get x
100/2.6709027420001=x
37.440524668867=x
x=37.440524668867

now we have:
174.69 is 37.440524668867% of 466.58