478.25 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 478.25 of the output value, so we can write it down as x%=478.25.
5. Now we have two simple equations:
1) 100%=488
2) x%=478.25
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%=488/478.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 478.25 is what percent of 488

100%/x%=488/478.25
(100/x)*x=(488/478.25)*x       - we multiply both sides of the equation by x
100=1.0203868269733*x       - we divide both sides of the equation by (1.0203868269733) to get x
100/1.0203868269733=x
98.002049180328=x
x=98.002049180328

now we have:
478.25 is 98.002049180328% of 488