31.82 is what percent of 416 - 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 416 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 416, so we can write it down as 100%=416.
4. We know, that x% equals 31.82 of the output value, so we can write it down as x%=31.82.
5. Now we have two simple equations:
1) 100%=416
2) x%=31.82
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%=416/31.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.82 is what percent of 416

100%/x%=416/31.82
(100/x)*x=(416/31.82)*x       - we multiply both sides of the equation by x
100=13.073538654934*x       - we divide both sides of the equation by (13.073538654934) to get x
100/13.073538654934=x
7.6490384615385=x
x=7.6490384615385

now we have:
31.82 is 7.6490384615385% of 416