33.9 is what percent of 40.6 - 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 40.6 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 40.6, so we can write it down as 100%=40.6.
4. We know, that x% equals 33.9 of the output value, so we can write it down as x%=33.9.
5. Now we have two simple equations:
1) 100%=40.6
2) x%=33.9
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%=40.6/33.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.9 is what percent of 40.6

100%/x%=40.6/33.9
(100/x)*x=(40.6/33.9)*x       - we multiply both sides of the equation by x
100=1.1976401179941*x       - we divide both sides of the equation by (1.1976401179941) to get x
100/1.1976401179941=x
83.497536945813=x
x=83.497536945813

now we have:
33.9 is 83.497536945813% of 40.6