271.64 is what percent of 489.29 - 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 489.29 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 489.29, so we can write it down as 100%=489.29.
4. We know, that x% equals 271.64 of the output value, so we can write it down as x%=271.64.
5. Now we have two simple equations:
1) 100%=489.29
2) x%=271.64
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%=489.29/271.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 271.64 is what percent of 489.29

100%/x%=489.29/271.64
(100/x)*x=(489.29/271.64)*x       - we multiply both sides of the equation by x
100=1.8012442939184*x       - we divide both sides of the equation by (1.8012442939184) to get x
100/1.8012442939184=x
55.517177951726=x
x=55.517177951726

now we have:
271.64 is 55.517177951726% of 489.29