102.15 is what percent of 489.45 - 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 489.45 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 489.45, so we can write it down as 100%=489.45.
4. We know, that x% equals 102.15 of the output value, so we can write it down as x%=102.15.
5. Now we have two simple equations:
1) 100%=489.45
2) x%=102.15
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%=489.45/102.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.15 is what percent of 489.45

100%/x%=489.45/102.15
(100/x)*x=(489.45/102.15)*x       - we multiply both sides of the equation by x
100=4.791483113069*x       - we divide both sides of the equation by (4.791483113069) to get x
100/4.791483113069=x
20.870364695066=x
x=20.870364695066

now we have:
102.15 is 20.870364695066% of 489.45