999.4 is what percent of 1124.2 - 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 1124.2 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 1124.2, so we can write it down as 100%=1124.2.
4. We know, that x% equals 999.4 of the output value, so we can write it down as x%=999.4.
5. Now we have two simple equations:
1) 100%=1124.2
2) x%=999.4
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%=1124.2/999.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 999.4 is what percent of 1124.2

100%/x%=1124.2/999.4
(100/x)*x=(1124.2/999.4)*x       - we multiply both sides of the equation by x
100=1.124874924955*x       - we divide both sides of the equation by (1.124874924955) to get x
100/1.124874924955=x
88.898772460416=x
x=88.898772460416

now we have:
999.4 is 88.898772460416% of 1124.2