1008.95 is what percent of 1123 - 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 1123 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 1123, so we can write it down as 100%=1123.
4. We know, that x% equals 1008.95 of the output value, so we can write it down as x%=1008.95.
5. Now we have two simple equations:
1) 100%=1123
2) x%=1008.95
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%=1123/1008.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1008.95 is what percent of 1123

100%/x%=1123/1008.95
(100/x)*x=(1123/1008.95)*x       - we multiply both sides of the equation by x
100=1.113038307151*x       - we divide both sides of the equation by (1.113038307151) to get x
100/1.113038307151=x
89.844167408727=x
x=89.844167408727

now we have:
1008.95 is 89.844167408727% of 1123