111.2 is what percent of 1588 - 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 1588 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 1588, so we can write it down as 100%=1588.
4. We know, that x% equals 111.2 of the output value, so we can write it down as x%=111.2.
5. Now we have two simple equations:
1) 100%=1588
2) x%=111.2
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%=1588/111.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 111.2 is what percent of 1588

100%/x%=1588/111.2
(100/x)*x=(1588/111.2)*x       - we multiply both sides of the equation by x
100=14.280575539568*x       - we divide both sides of the equation by (14.280575539568) to get x
100/14.280575539568=x
7.0025188916877=x
x=7.0025188916877

now we have:
111.2 is 7.0025188916877% of 1588