312.59 is what percent of 7831.94 - 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 7831.94 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 7831.94, so we can write it down as 100%=7831.94.
4. We know, that x% equals 312.59 of the output value, so we can write it down as x%=312.59.
5. Now we have two simple equations:
1) 100%=7831.94
2) x%=312.59
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%=7831.94/312.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 312.59 is what percent of 7831.94

100%/x%=7831.94/312.59
(100/x)*x=(7831.94/312.59)*x       - we multiply both sides of the equation by x
100=25.054992162257*x       - we divide both sides of the equation by (25.054992162257) to get x
100/25.054992162257=x
3.9912205660411=x
x=3.9912205660411

now we have:
312.59 is 3.9912205660411% of 7831.94