482.5 is what percent of 488 - 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 488 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 488, so we can write it down as 100%=488.
4. We know, that x% equals 482.5 of the output value, so we can write it down as x%=482.5.
5. Now we have two simple equations:
1) 100%=488
2) x%=482.5
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%=488/482.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 482.5 is what percent of 488

100%/x%=488/482.5
(100/x)*x=(488/482.5)*x       - we multiply both sides of the equation by x
100=1.0113989637306*x       - we divide both sides of the equation by (1.0113989637306) to get x
100/1.0113989637306=x
98.872950819672=x
x=98.872950819672

now we have:
482.5 is 98.872950819672% of 488