880.96 is what percent of 1066 - 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 1066 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 1066, so we can write it down as 100%=1066.
4. We know, that x% equals 880.96 of the output value, so we can write it down as x%=880.96.
5. Now we have two simple equations:
1) 100%=1066
2) x%=880.96
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%=1066/880.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 880.96 is what percent of 1066

100%/x%=1066/880.96
(100/x)*x=(1066/880.96)*x       - we multiply both sides of the equation by x
100=1.2100435888122*x       - we divide both sides of the equation by (1.2100435888122) to get x
100/1.2100435888122=x
82.641651031895=x
x=82.641651031895

now we have:
880.96 is 82.641651031895% of 1066