178.8 is what percent of 414 - 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 414 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 414, so we can write it down as 100%=414.
4. We know, that x% equals 178.8 of the output value, so we can write it down as x%=178.8.
5. Now we have two simple equations:
1) 100%=414
2) x%=178.8
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%=414/178.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 178.8 is what percent of 414

100%/x%=414/178.8
(100/x)*x=(414/178.8)*x       - we multiply both sides of the equation by x
100=2.3154362416107*x       - we divide both sides of the equation by (2.3154362416107) to get x
100/2.3154362416107=x
43.188405797101=x
x=43.188405797101

now we have:
178.8 is 43.188405797101% of 414