775.17 is what percent of 9.976 - 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 9.976 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 9.976, so we can write it down as 100%=9.976.
4. We know, that x% equals 775.17 of the output value, so we can write it down as x%=775.17.
5. Now we have two simple equations:
1) 100%=9.976
2) x%=775.17
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%=9.976/775.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 775.17 is what percent of 9.976

100%/x%=9.976/775.17
(100/x)*x=(9.976/775.17)*x       - we multiply both sides of the equation by x
100=0.012869435091657*x       - we divide both sides of the equation by (0.012869435091657) to get x
100/0.012869435091657=x
7770.3488372093=x
x=7770.3488372093

now we have:
775.17 is 7770.3488372093% of 9.976