38980.93 is what percent of 331776.03 - 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 331776.03 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 331776.03, so we can write it down as 100%=331776.03.
4. We know, that x% equals 38980.93 of the output value, so we can write it down as x%=38980.93.
5. Now we have two simple equations:
1) 100%=331776.03
2) x%=38980.93
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%=331776.03/38980.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38980.93 is what percent of 331776.03

100%/x%=331776.03/38980.93
(100/x)*x=(331776.03/38980.93)*x       - we multiply both sides of the equation by x
100=8.5112394701717*x       - we divide both sides of the equation by (8.5112394701717) to get x
100/8.5112394701717=x
11.749170065119=x
x=11.749170065119

now we have:
38980.93 is 11.749170065119% of 331776.03