88.44 is what percent of 1218.95 - 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 1218.95 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 1218.95, so we can write it down as 100%=1218.95.
4. We know, that x% equals 88.44 of the output value, so we can write it down as x%=88.44.
5. Now we have two simple equations:
1) 100%=1218.95
2) x%=88.44
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%=1218.95/88.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88.44 is what percent of 1218.95

100%/x%=1218.95/88.44
(100/x)*x=(1218.95/88.44)*x       - we multiply both sides of the equation by x
100=13.782790592492*x       - we divide both sides of the equation by (13.782790592492) to get x
100/13.782790592492=x
7.2554247508101=x
x=7.2554247508101

now we have:
88.44 is 7.2554247508101% of 1218.95