34.19 is what percent of 140.98 - 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 140.98 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 140.98, so we can write it down as 100%=140.98.
4. We know, that x% equals 34.19 of the output value, so we can write it down as x%=34.19.
5. Now we have two simple equations:
1) 100%=140.98
2) x%=34.19
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%=140.98/34.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.19 is what percent of 140.98

100%/x%=140.98/34.19
(100/x)*x=(140.98/34.19)*x       - we multiply both sides of the equation by x
100=4.1234279028956*x       - we divide both sides of the equation by (4.1234279028956) to get x
100/4.1234279028956=x
24.251666903107=x
x=24.251666903107

now we have:
34.19 is 24.251666903107% of 140.98