1102.5 is what percent of 1000 - 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 1000 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 1000, so we can write it down as 100%=1000.
4. We know, that x% equals 1102.5 of the output value, so we can write it down as x%=1102.5.
5. Now we have two simple equations:
1) 100%=1000
2) x%=1102.5
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%=1000/1102.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1102.5 is what percent of 1000

100%/x%=1000/1102.5
(100/x)*x=(1000/1102.5)*x       - we multiply both sides of the equation by x
100=0.90702947845805*x       - we divide both sides of the equation by (0.90702947845805) to get x
100/0.90702947845805=x
110.25=x
x=110.25

now we have:
1102.5 is 110.25% of 1000