34.95 is what percent of 24.95 - 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 24.95 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 24.95, so we can write it down as 100%=24.95.
4. We know, that x% equals 34.95 of the output value, so we can write it down as x%=34.95.
5. Now we have two simple equations:
1) 100%=24.95
2) x%=34.95
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%=24.95/34.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.95 is what percent of 24.95

100%/x%=24.95/34.95
(100/x)*x=(24.95/34.95)*x       - we multiply both sides of the equation by x
100=0.71387696709585*x       - we divide both sides of the equation by (0.71387696709585) to get x
100/0.71387696709585=x
140.08016032064=x
x=140.08016032064

now we have:
34.95 is 140.08016032064% of 24.95