42297.94 is what percent of 54100 - 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 54100 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 54100, so we can write it down as 100%=54100.
4. We know, that x% equals 42297.94 of the output value, so we can write it down as x%=42297.94.
5. Now we have two simple equations:
1) 100%=54100
2) x%=42297.94
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%=54100/42297.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42297.94 is what percent of 54100

100%/x%=54100/42297.94
(100/x)*x=(54100/42297.94)*x       - we multiply both sides of the equation by x
100=1.2790220989486*x       - we divide both sides of the equation by (1.2790220989486) to get x
100/1.2790220989486=x
78.184731977819=x
x=78.184731977819

now we have:
42297.94 is 78.184731977819% of 54100