984.46 is what percent of 2098.4 - 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 2098.4 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 2098.4, so we can write it down as 100%=2098.4.
4. We know, that x% equals 984.46 of the output value, so we can write it down as x%=984.46.
5. Now we have two simple equations:
1) 100%=2098.4
2) x%=984.46
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%=2098.4/984.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 984.46 is what percent of 2098.4

100%/x%=2098.4/984.46
(100/x)*x=(2098.4/984.46)*x       - we multiply both sides of the equation by x
100=2.1315238811125*x       - we divide both sides of the equation by (2.1315238811125) to get x
100/2.1315238811125=x
46.914792222646=x
x=46.914792222646

now we have:
984.46 is 46.914792222646% of 2098.4