1023.34 is what percent of 1100.01 - 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 1100.01 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 1100.01, so we can write it down as 100%=1100.01.
4. We know, that x% equals 1023.34 of the output value, so we can write it down as x%=1023.34.
5. Now we have two simple equations:
1) 100%=1100.01
2) x%=1023.34
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%=1100.01/1023.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1023.34 is what percent of 1100.01

100%/x%=1100.01/1023.34
(100/x)*x=(1100.01/1023.34)*x       - we multiply both sides of the equation by x
100=1.0749213360174*x       - we divide both sides of the equation by (1.0749213360174) to get x
100/1.0749213360174=x
93.03006336306=x
x=93.03006336306

now we have:
1023.34 is 93.03006336306% of 1100.01