5448.8 is what percent of 12741 - 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 12741 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 12741, so we can write it down as 100%=12741.
4. We know, that x% equals 5448.8 of the output value, so we can write it down as x%=5448.8.
5. Now we have two simple equations:
1) 100%=12741
2) x%=5448.8
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%=12741/5448.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5448.8 is what percent of 12741

100%/x%=12741/5448.8
(100/x)*x=(12741/5448.8)*x       - we multiply both sides of the equation by x
100=2.3383130230509*x       - we divide both sides of the equation by (2.3383130230509) to get x
100/2.3383130230509=x
42.765873950239=x
x=42.765873950239

now we have:
5448.8 is 42.765873950239% of 12741