38913.54 is what percent of 420194.5 - 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 420194.5 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 420194.5, so we can write it down as 100%=420194.5.
4. We know, that x% equals 38913.54 of the output value, so we can write it down as x%=38913.54.
5. Now we have two simple equations:
1) 100%=420194.5
2) x%=38913.54
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%=420194.5/38913.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38913.54 is what percent of 420194.5

100%/x%=420194.5/38913.54
(100/x)*x=(420194.5/38913.54)*x       - we multiply both sides of the equation by x
100=10.798156631342*x       - we divide both sides of the equation by (10.798156631342) to get x
100/10.798156631342=x
9.2608399205606=x
x=9.2608399205606

now we have:
38913.54 is 9.2608399205606% of 420194.5