489.86 is what percent of 4971.6 - 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 4971.6 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 4971.6, so we can write it down as 100%=4971.6.
4. We know, that x% equals 489.86 of the output value, so we can write it down as x%=489.86.
5. Now we have two simple equations:
1) 100%=4971.6
2) x%=489.86
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%=4971.6/489.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 489.86 is what percent of 4971.6

100%/x%=4971.6/489.86
(100/x)*x=(4971.6/489.86)*x       - we multiply both sides of the equation by x
100=10.149022169599*x       - we divide both sides of the equation by (10.149022169599) to get x
100/10.149022169599=x
9.8531659827822=x
x=9.8531659827822

now we have:
489.86 is 9.8531659827822% of 4971.6