140.08 is what percent of 139.38 - 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 139.38 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 139.38, so we can write it down as 100%=139.38.
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%=139.38
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%=139.38/140.08
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 139.38

100%/x%=139.38/140.08
(100/x)*x=(139.38/140.08)*x       - we multiply both sides of the equation by x
100=0.99500285551114*x       - we divide both sides of the equation by (0.99500285551114) to get x
100/0.99500285551114=x
100.50222413546=x
x=100.50222413546

now we have:
140.08 is 100.50222413546% of 139.38