482.04 is what percent of 988.8 - 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 988.8 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 988.8, so we can write it down as 100%=988.8.
4. We know, that x% equals 482.04 of the output value, so we can write it down as x%=482.04.
5. Now we have two simple equations:
1) 100%=988.8
2) x%=482.04
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%=988.8/482.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 482.04 is what percent of 988.8

100%/x%=988.8/482.04
(100/x)*x=(988.8/482.04)*x       - we multiply both sides of the equation by x
100=2.0512820512821*x       - we divide both sides of the equation by (2.0512820512821) to get x
100/2.0512820512821=x
48.75=x
x=48.75

now we have:
482.04 is 48.75% of 988.8