1105.09 is what percent of 1299.92 - 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 1299.92 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 1299.92, so we can write it down as 100%=1299.92.
4. We know, that x% equals 1105.09 of the output value, so we can write it down as x%=1105.09.
5. Now we have two simple equations:
1) 100%=1299.92
2) x%=1105.09
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%=1299.92/1105.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1105.09 is what percent of 1299.92

100%/x%=1299.92/1105.09
(100/x)*x=(1299.92/1105.09)*x       - we multiply both sides of the equation by x
100=1.1763023826114*x       - we divide both sides of the equation by (1.1763023826114) to get x
100/1.1763023826114=x
85.012154594129=x
x=85.012154594129

now we have:
1105.09 is 85.012154594129% of 1299.92