178.29 is what percent of 434.85 - 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 434.85 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 434.85, so we can write it down as 100%=434.85.
4. We know, that x% equals 178.29 of the output value, so we can write it down as x%=178.29.
5. Now we have two simple equations:
1) 100%=434.85
2) x%=178.29
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%=434.85/178.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 178.29 is what percent of 434.85

100%/x%=434.85/178.29
(100/x)*x=(434.85/178.29)*x       - we multiply both sides of the equation by x
100=2.4390038700993*x       - we divide both sides of the equation by (2.4390038700993) to get x
100/2.4390038700993=x
41.000344946533=x
x=41.000344946533

now we have:
178.29 is 41.000344946533% of 434.85