996.89 is what percent of 5421.4 - 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 5421.4 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 5421.4, so we can write it down as 100%=5421.4.
4. We know, that x% equals 996.89 of the output value, so we can write it down as x%=996.89.
5. Now we have two simple equations:
1) 100%=5421.4
2) x%=996.89
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%=5421.4/996.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 996.89 is what percent of 5421.4

100%/x%=5421.4/996.89
(100/x)*x=(5421.4/996.89)*x       - we multiply both sides of the equation by x
100=5.4383131539087*x       - we divide both sides of the equation by (5.4383131539087) to get x
100/5.4383131539087=x
18.388054746007=x
x=18.388054746007

now we have:
996.89 is 18.388054746007% of 5421.4