39871.94 is what percent of 42000 - 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 42000 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 42000, so we can write it down as 100%=42000.
4. We know, that x% equals 39871.94 of the output value, so we can write it down as x%=39871.94.
5. Now we have two simple equations:
1) 100%=42000
2) x%=39871.94
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%=42000/39871.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39871.94 is what percent of 42000

100%/x%=42000/39871.94
(100/x)*x=(42000/39871.94)*x       - we multiply both sides of the equation by x
100=1.0533723716478*x       - we divide both sides of the equation by (1.0533723716478) to get x
100/1.0533723716478=x
94.93319047619=x
x=94.93319047619

now we have:
39871.94 is 94.93319047619% of 42000