25877.42 is what percent of 42423.75 - 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 42423.75 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 42423.75, so we can write it down as 100%=42423.75.
4. We know, that x% equals 25877.42 of the output value, so we can write it down as x%=25877.42.
5. Now we have two simple equations:
1) 100%=42423.75
2) x%=25877.42
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%=42423.75/25877.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25877.42 is what percent of 42423.75

100%/x%=42423.75/25877.42
(100/x)*x=(42423.75/25877.42)*x       - we multiply both sides of the equation by x
100=1.6394118888204*x       - we divide both sides of the equation by (1.6394118888204) to get x
100/1.6394118888204=x
60.997483720793=x
x=60.997483720793

now we have:
25877.42 is 60.997483720793% of 42423.75