1940.78 is what percent of 25722 - 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 25722 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 25722, so we can write it down as 100%=25722.
4. We know, that x% equals 1940.78 of the output value, so we can write it down as x%=1940.78.
5. Now we have two simple equations:
1) 100%=25722
2) x%=1940.78
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%=25722/1940.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1940.78 is what percent of 25722

100%/x%=25722/1940.78
(100/x)*x=(25722/1940.78)*x       - we multiply both sides of the equation by x
100=13.253434186255*x       - we divide both sides of the equation by (13.253434186255) to get x
100/13.253434186255=x
7.5452142135137=x
x=7.5452142135137

now we have:
1940.78 is 7.5452142135137% of 25722