1.25 is what percent of 111.25 - 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 111.25 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 111.25, so we can write it down as 100%=111.25.
4. We know, that x% equals 1.25 of the output value, so we can write it down as x%=1.25.
5. Now we have two simple equations:
1) 100%=111.25
2) x%=1.25
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%=111.25/1.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.25 is what percent of 111.25

100%/x%=111.25/1.25
(100/x)*x=(111.25/1.25)*x       - we multiply both sides of the equation by x
100=89*x       - we divide both sides of the equation by (89) to get x
100/89=x
1.123595505618=x
x=1.123595505618

now we have:
1.25 is 1.123595505618% of 111.25