4947.48 is what percent of 9973.6 - 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 9973.6 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 9973.6, so we can write it down as 100%=9973.6.
4. We know, that x% equals 4947.48 of the output value, so we can write it down as x%=4947.48.
5. Now we have two simple equations:
1) 100%=9973.6
2) x%=4947.48
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%=9973.6/4947.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4947.48 is what percent of 9973.6

100%/x%=9973.6/4947.48
(100/x)*x=(9973.6/4947.48)*x       - we multiply both sides of the equation by x
100=2.0158949606668*x       - we divide both sides of the equation by (2.0158949606668) to get x
100/2.0158949606668=x
49.605759204299=x
x=49.605759204299

now we have:
4947.48 is 49.605759204299% of 9973.6