684.65 is what percent of 107014.67 - 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 107014.67 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 107014.67, so we can write it down as 100%=107014.67.
4. We know, that x% equals 684.65 of the output value, so we can write it down as x%=684.65.
5. Now we have two simple equations:
1) 100%=107014.67
2) x%=684.65
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%=107014.67/684.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 684.65 is what percent of 107014.67

100%/x%=107014.67/684.65
(100/x)*x=(107014.67/684.65)*x       - we multiply both sides of the equation by x
100=156.30565982619*x       - we divide both sides of the equation by (156.30565982619) to get x
100/156.30565982619=x
0.63977209853565=x
x=0.63977209853565

now we have:
684.65 is 0.63977209853565% of 107014.67