1040.9 is what percent of 1220 - 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 1220 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 1220, so we can write it down as 100%=1220.
4. We know, that x% equals 1040.9 of the output value, so we can write it down as x%=1040.9.
5. Now we have two simple equations:
1) 100%=1220
2) x%=1040.9
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%=1220/1040.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1040.9 is what percent of 1220

100%/x%=1220/1040.9
(100/x)*x=(1220/1040.9)*x       - we multiply both sides of the equation by x
100=1.1720626381016*x       - we divide both sides of the equation by (1.1720626381016) to get x
100/1.1720626381016=x
85.319672131148=x
x=85.319672131148

now we have:
1040.9 is 85.319672131148% of 1220