43744.9 is what percent of 478570.9 - 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 478570.9 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 478570.9, so we can write it down as 100%=478570.9.
4. We know, that x% equals 43744.9 of the output value, so we can write it down as x%=43744.9.
5. Now we have two simple equations:
1) 100%=478570.9
2) x%=43744.9
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%=478570.9/43744.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43744.9 is what percent of 478570.9

100%/x%=478570.9/43744.9
(100/x)*x=(478570.9/43744.9)*x       - we multiply both sides of the equation by x
100=10.940038724514*x       - we divide both sides of the equation by (10.940038724514) to get x
100/10.940038724514=x
9.140735468872=x
x=9.140735468872

now we have:
43744.9 is 9.140735468872% of 478570.9