860.99 is what percent of 1076.23 - 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 1076.23 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 1076.23, so we can write it down as 100%=1076.23.
4. We know, that x% equals 860.99 of the output value, so we can write it down as x%=860.99.
5. Now we have two simple equations:
1) 100%=1076.23
2) x%=860.99
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%=1076.23/860.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 860.99 is what percent of 1076.23

100%/x%=1076.23/860.99
(100/x)*x=(1076.23/860.99)*x       - we multiply both sides of the equation by x
100=1.2499912890974*x       - we divide both sides of the equation by (1.2499912890974) to get x
100/1.2499912890974=x
80.000557501649=x
x=80.000557501649

now we have:
860.99 is 80.000557501649% of 1076.23