33.82 is what percent of 406.18 - 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 406.18 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 406.18, so we can write it down as 100%=406.18.
4. We know, that x% equals 33.82 of the output value, so we can write it down as x%=33.82.
5. Now we have two simple equations:
1) 100%=406.18
2) x%=33.82
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%=406.18/33.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.82 is what percent of 406.18

100%/x%=406.18/33.82
(100/x)*x=(406.18/33.82)*x       - we multiply both sides of the equation by x
100=12.010053222945*x       - we divide both sides of the equation by (12.010053222945) to get x
100/12.010053222945=x
8.3263577724162=x
x=8.3263577724162

now we have:
33.82 is 8.3263577724162% of 406.18