What is 8.31 percent of 415.7 - 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 415.7 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 415.7 is 100%, so we can write it down as 415.7=100%.
4. We know, that x is 8.31% of the output value, so we can write it down as x=8.31%.
5. Now we have two simple equations:
1) 415.7=100%
2) x=8.31%
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:
415.7/x=100%/8.31%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 8.31% of 415.7

415.7/x=100/8.31
(415.7/x)*x=(100/8.31)*x       - we multiply both sides of the equation by x
415.7=12.033694344164*x       - we divide both sides of the equation by (12.033694344164) to get x
415.7/12.033694344164=x
34.54467=x
x=34.54467

now we have:
8.31% of 415.7=34.54467