76.47 is what percent of 140.07 - 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 140.07 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 140.07, so we can write it down as 100%=140.07.
4. We know, that x% equals 76.47 of the output value, so we can write it down as x%=76.47.
5. Now we have two simple equations:
1) 100%=140.07
2) x%=76.47
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%=140.07/76.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.47 is what percent of 140.07

100%/x%=140.07/76.47
(100/x)*x=(140.07/76.47)*x       - we multiply both sides of the equation by x
100=1.8316987053747*x       - we divide both sides of the equation by (1.8316987053747) to get x
100/1.8316987053747=x
54.594131505676=x
x=54.594131505676

now we have:
76.47 is 54.594131505676% of 140.07