80.76 is what percent of 1124.34 - 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 1124.34 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 1124.34, so we can write it down as 100%=1124.34.
4. We know, that x% equals 80.76 of the output value, so we can write it down as x%=80.76.
5. Now we have two simple equations:
1) 100%=1124.34
2) x%=80.76
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%=1124.34/80.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 80.76 is what percent of 1124.34

100%/x%=1124.34/80.76
(100/x)*x=(1124.34/80.76)*x       - we multiply both sides of the equation by x
100=13.921991084695*x       - we divide both sides of the equation by (13.921991084695) to get x
100/13.921991084695=x
7.182880623299=x
x=7.182880623299

now we have:
80.76 is 7.182880623299% of 1124.34