482.16 is what percent of 984 - 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 984 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 984, so we can write it down as 100%=984.
4. We know, that x% equals 482.16 of the output value, so we can write it down as x%=482.16.
5. Now we have two simple equations:
1) 100%=984
2) x%=482.16
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%=984/482.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 482.16 is what percent of 984

100%/x%=984/482.16
(100/x)*x=(984/482.16)*x       - we multiply both sides of the equation by x
100=2.0408163265306*x       - we divide both sides of the equation by (2.0408163265306) to get x
100/2.0408163265306=x
49=x
x=49

now we have:
482.16 is 49% of 984