5720.94 is what percent of 8440 - 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 8440 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 8440, so we can write it down as 100%=8440.
4. We know, that x% equals 5720.94 of the output value, so we can write it down as x%=5720.94.
5. Now we have two simple equations:
1) 100%=8440
2) x%=5720.94
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%=8440/5720.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5720.94 is what percent of 8440

100%/x%=8440/5720.94
(100/x)*x=(8440/5720.94)*x       - we multiply both sides of the equation by x
100=1.4752820340713*x       - we divide both sides of the equation by (1.4752820340713) to get x
100/1.4752820340713=x
67.7836492891=x
x=67.7836492891

now we have:
5720.94 is 67.7836492891% of 8440