33.8 is what percent of 411.8 - 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 411.8 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 411.8, so we can write it down as 100%=411.8.
4. We know, that x% equals 33.8 of the output value, so we can write it down as x%=33.8.
5. Now we have two simple equations:
1) 100%=411.8
2) x%=33.8
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%=411.8/33.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.8 is what percent of 411.8

100%/x%=411.8/33.8
(100/x)*x=(411.8/33.8)*x       - we multiply both sides of the equation by x
100=12.183431952663*x       - we divide both sides of the equation by (12.183431952663) to get x
100/12.183431952663=x
8.2078678970374=x
x=8.2078678970374

now we have:
33.8 is 8.2078678970374% of 411.8