9.77 is what percent of 8.43 - 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 8.43 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 8.43, so we can write it down as 100%=8.43.
4. We know, that x% equals 9.77 of the output value, so we can write it down as x%=9.77.
5. Now we have two simple equations:
1) 100%=8.43
2) x%=9.77
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%=8.43/9.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.77 is what percent of 8.43

100%/x%=8.43/9.77
(100/x)*x=(8.43/9.77)*x       - we multiply both sides of the equation by x
100=0.86284544524053*x       - we divide both sides of the equation by (0.86284544524053) to get x
100/0.86284544524053=x
115.8956109134=x
x=115.8956109134

now we have:
9.77 is 115.8956109134% of 8.43