5885.25 is what percent of 8359.25 - 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 8359.25 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 8359.25, so we can write it down as 100%=8359.25.
4. We know, that x% equals 5885.25 of the output value, so we can write it down as x%=5885.25.
5. Now we have two simple equations:
1) 100%=8359.25
2) x%=5885.25
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%=8359.25/5885.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5885.25 is what percent of 8359.25

100%/x%=8359.25/5885.25
(100/x)*x=(8359.25/5885.25)*x       - we multiply both sides of the equation by x
100=1.4203729663141*x       - we divide both sides of the equation by (1.4203729663141) to get x
100/1.4203729663141=x
70.404043424948=x
x=70.404043424948

now we have:
5885.25 is 70.404043424948% of 8359.25