43.78 is what percent of 2025.4 - 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 2025.4 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 2025.4, so we can write it down as 100%=2025.4.
4. We know, that x% equals 43.78 of the output value, so we can write it down as x%=43.78.
5. Now we have two simple equations:
1) 100%=2025.4
2) x%=43.78
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%=2025.4/43.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.78 is what percent of 2025.4

100%/x%=2025.4/43.78
(100/x)*x=(2025.4/43.78)*x       - we multiply both sides of the equation by x
100=46.263133851074*x       - we divide both sides of the equation by (46.263133851074) to get x
100/46.263133851074=x
2.1615483361311=x
x=2.1615483361311

now we have:
43.78 is 2.1615483361311% of 2025.4