33.5 is what percent of 36.79 - 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 36.79 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 36.79, so we can write it down as 100%=36.79.
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%=36.79
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%=36.79/33.5
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 36.79

100%/x%=36.79/33.5
(100/x)*x=(36.79/33.5)*x       - we multiply both sides of the equation by x
100=1.0982089552239*x       - we divide both sides of the equation by (1.0982089552239) to get x
100/1.0982089552239=x
91.057352541451=x
x=91.057352541451

now we have:
33.5 is 91.057352541451% of 36.79