33.5 is what percent of 39.46 - 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 39.46 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 39.46, so we can write it down as 100%=39.46.
4. We know, that x% equals 33.5 of the output value, so we can write it down as x%=33.5.
5. Now we have two simple equations:
1) 100%=39.46
2) x%=33.5
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%=39.46/33.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.5 is what percent of 39.46

100%/x%=39.46/33.5
(100/x)*x=(39.46/33.5)*x       - we multiply both sides of the equation by x
100=1.1779104477612*x       - we divide both sides of the equation by (1.1779104477612) to get x
100/1.1779104477612=x
84.896097313735=x
x=84.896097313735

now we have:
33.5 is 84.896097313735% of 39.46