61.42 is what percent of 33.2 - 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 33.2 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 33.2, so we can write it down as 100%=33.2.
4. We know, that x% equals 61.42 of the output value, so we can write it down as x%=61.42.
5. Now we have two simple equations:
1) 100%=33.2
2) x%=61.42
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%=33.2/61.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 61.42 is what percent of 33.2

100%/x%=33.2/61.42
(100/x)*x=(33.2/61.42)*x       - we multiply both sides of the equation by x
100=0.54054054054054*x       - we divide both sides of the equation by (0.54054054054054) to get x
100/0.54054054054054=x
185=x
x=185

now we have:
61.42 is 185% of 33.2