81 is what percent of 9712 - 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 9712 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 9712, so we can write it down as 100%=9712.
4. We know, that x% equals 81 of the output value, so we can write it down as x%=81.
5. Now we have two simple equations:
1) 100%=9712
2) x%=81
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%=9712/81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 81 is what percent of 9712

100%/x%=9712/81
(100/x)*x=(9712/81)*x       - we multiply both sides of the equation by x
100=119.9012345679*x       - we divide both sides of the equation by (119.9012345679) to get x
100/119.9012345679=x
0.8340197693575=x
x=0.8340197693575

now we have:
81 is 0.8340197693575% of 9712