91.33 is what percent of 33.84 - 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 33.84 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 33.84, so we can write it down as 100%=33.84.
4. We know, that x% equals 91.33 of the output value, so we can write it down as x%=91.33.
5. Now we have two simple equations:
1) 100%=33.84
2) x%=91.33
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%=33.84/91.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 91.33 is what percent of 33.84

100%/x%=33.84/91.33
(100/x)*x=(33.84/91.33)*x       - we multiply both sides of the equation by x
100=0.37052447169605*x       - we divide both sides of the equation by (0.37052447169605) to get x
100/0.37052447169605=x
269.88770685579=x
x=269.88770685579

now we have:
91.33 is 269.88770685579% of 33.84