24.95 is what percent of 33.49 - 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 33.49 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 33.49, so we can write it down as 100%=33.49.
4. We know, that x% equals 24.95 of the output value, so we can write it down as x%=24.95.
5. Now we have two simple equations:
1) 100%=33.49
2) x%=24.95
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%=33.49/24.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.95 is what percent of 33.49

100%/x%=33.49/24.95
(100/x)*x=(33.49/24.95)*x       - we multiply both sides of the equation by x
100=1.3422845691383*x       - we divide both sides of the equation by (1.3422845691383) to get x
100/1.3422845691383=x
74.499850701702=x
x=74.499850701702

now we have:
24.95 is 74.499850701702% of 33.49