76.61 is what percent of 77.61 - 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 77.61 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 77.61, so we can write it down as 100%=77.61.
4. We know, that x% equals 76.61 of the output value, so we can write it down as x%=76.61.
5. Now we have two simple equations:
1) 100%=77.61
2) x%=76.61
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%=77.61/76.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.61 is what percent of 77.61

100%/x%=77.61/76.61
(100/x)*x=(77.61/76.61)*x       - we multiply both sides of the equation by x
100=1.0130531262237*x       - we divide both sides of the equation by (1.0130531262237) to get x
100/1.0130531262237=x
98.711506249195=x
x=98.711506249195

now we have:
76.61 is 98.711506249195% of 77.61