992.86 is what percent of 12410.7 - 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 12410.7 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 12410.7, so we can write it down as 100%=12410.7.
4. We know, that x% equals 992.86 of the output value, so we can write it down as x%=992.86.
5. Now we have two simple equations:
1) 100%=12410.7
2) x%=992.86
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%=12410.7/992.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 992.86 is what percent of 12410.7

100%/x%=12410.7/992.86
(100/x)*x=(12410.7/992.86)*x       - we multiply both sides of the equation by x
100=12.499949640433*x       - we divide both sides of the equation by (12.499949640433) to get x
100/12.499949640433=x
8.0000322302529=x
x=8.0000322302529

now we have:
992.86 is 8.0000322302529% of 12410.7