102.61 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 102.61 of the output value, so we can write it down as x%=102.61.
5. Now we have two simple equations:
1) 100%=140
2) x%=102.61
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%=140/102.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.61 is what percent of 140

100%/x%=140/102.61
(100/x)*x=(140/102.61)*x       - we multiply both sides of the equation by x
100=1.3643894357275*x       - we divide both sides of the equation by (1.3643894357275) to get x
100/1.3643894357275=x
73.292857142857=x
x=73.292857142857

now we have:
102.61 is 73.292857142857% of 140