140.08 is what percent of 50 - 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 50 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 50, so we can write it down as 100%=50.
4. We know, that x% equals 140.08 of the output value, so we can write it down as x%=140.08.
5. Now we have two simple equations:
1) 100%=50
2) x%=140.08
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%=50/140.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 140.08 is what percent of 50

100%/x%=50/140.08
(100/x)*x=(50/140.08)*x       - we multiply both sides of the equation by x
100=0.35693889206168*x       - we divide both sides of the equation by (0.35693889206168) to get x
100/0.35693889206168=x
280.16=x
x=280.16

now we have:
140.08 is 280.16% of 50