1088 is what percent of 8144 - 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 8144 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 8144, so we can write it down as 100%=8144.
4. We know, that x% equals 1088 of the output value, so we can write it down as x%=1088.
5. Now we have two simple equations:
1) 100%=8144
2) x%=1088
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%=8144/1088
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1088 is what percent of 8144

100%/x%=8144/1088
(100/x)*x=(8144/1088)*x       - we multiply both sides of the equation by x
100=7.4852941176471*x       - we divide both sides of the equation by (7.4852941176471) to get x
100/7.4852941176471=x
13.35952848723=x
x=13.35952848723

now we have:
1088 is 13.35952848723% of 8144