33.49 is what percent of 22.95 - 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 22.95 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 22.95, so we can write it down as 100%=22.95.
4. We know, that x% equals 33.49 of the output value, so we can write it down as x%=33.49.
5. Now we have two simple equations:
1) 100%=22.95
2) x%=33.49
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%=22.95/33.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.49 is what percent of 22.95

100%/x%=22.95/33.49
(100/x)*x=(22.95/33.49)*x       - we multiply both sides of the equation by x
100=0.68527918781726*x       - we divide both sides of the equation by (0.68527918781726) to get x
100/0.68527918781726=x
145.92592592593=x
x=145.92592592593

now we have:
33.49 is 145.92592592593% of 22.95