999.4 is what percent of 1199 - 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 1199 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 1199, so we can write it down as 100%=1199.
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%=1199
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%=1199/999.4
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 1199

100%/x%=1199/999.4
(100/x)*x=(1199/999.4)*x       - we multiply both sides of the equation by x
100=1.1997198318991*x       - we divide both sides of the equation by (1.1997198318991) to get x
100/1.1997198318991=x
83.352793994996=x
x=83.352793994996

now we have:
999.4 is 83.352793994996% of 1199