140.97 is what percent of 408.443 - 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 408.443 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 408.443, so we can write it down as 100%=408.443.
4. We know, that x% equals 140.97 of the output value, so we can write it down as x%=140.97.
5. Now we have two simple equations:
1) 100%=408.443
2) x%=140.97
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%=408.443/140.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 140.97 is what percent of 408.443

100%/x%=408.443/140.97
(100/x)*x=(408.443/140.97)*x       - we multiply both sides of the equation by x
100=2.897375328084*x       - we divide both sides of the equation by (2.897375328084) to get x
100/2.897375328084=x
34.513995832956=x
x=34.513995832956

now we have:
140.97 is 34.513995832956% of 408.443