43.85 is what percent of 3024.04 - 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 3024.04 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 3024.04, so we can write it down as 100%=3024.04.
4. We know, that x% equals 43.85 of the output value, so we can write it down as x%=43.85.
5. Now we have two simple equations:
1) 100%=3024.04
2) x%=43.85
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%=3024.04/43.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.85 is what percent of 3024.04

100%/x%=3024.04/43.85
(100/x)*x=(3024.04/43.85)*x       - we multiply both sides of the equation by x
100=68.963283922463*x       - we divide both sides of the equation by (68.963283922463) to get x
100/68.963283922463=x
1.4500469570508=x
x=1.4500469570508

now we have:
43.85 is 1.4500469570508% of 3024.04