137.8 is what percent of 140 - 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 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, so we can write it down as 100%=140.
4. We know, that x% equals 137.8 of the output value, so we can write it down as x%=137.8.
5. Now we have two simple equations:
1) 100%=140
2) x%=137.8
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%=140/137.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 137.8 is what percent of 140

100%/x%=140/137.8
(100/x)*x=(140/137.8)*x       - we multiply both sides of the equation by x
100=1.0159651669086*x       - we divide both sides of the equation by (1.0159651669086) to get x
100/1.0159651669086=x
98.428571428571=x
x=98.428571428571

now we have:
137.8 is 98.428571428571% of 140