100.8 is what percent of 140.7 - 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 140.7 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 140.7, so we can write it down as 100%=140.7.
4. We know, that x% equals 100.8 of the output value, so we can write it down as x%=100.8.
5. Now we have two simple equations:
1) 100%=140.7
2) x%=100.8
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%=140.7/100.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 100.8 is what percent of 140.7

100%/x%=140.7/100.8
(100/x)*x=(140.7/100.8)*x       - we multiply both sides of the equation by x
100=1.3958333333333*x       - we divide both sides of the equation by (1.3958333333333) to get x
100/1.3958333333333=x
71.641791044776=x
x=71.641791044776

now we have:
100.8 is 71.641791044776% of 140.7