25.43 is what percent of 43.85 - 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 43.85 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 43.85, so we can write it down as 100%=43.85.
4. We know, that x% equals 25.43 of the output value, so we can write it down as x%=25.43.
5. Now we have two simple equations:
1) 100%=43.85
2) x%=25.43
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%=43.85/25.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.43 is what percent of 43.85

100%/x%=43.85/25.43
(100/x)*x=(43.85/25.43)*x       - we multiply both sides of the equation by x
100=1.7243413291388*x       - we divide both sides of the equation by (1.7243413291388) to get x
100/1.7243413291388=x
57.993158494869=x
x=57.993158494869

now we have:
25.43 is 57.993158494869% of 43.85