10231.48 is what percent of 15695.94 - 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 15695.94 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 15695.94, so we can write it down as 100%=15695.94.
4. We know, that x% equals 10231.48 of the output value, so we can write it down as x%=10231.48.
5. Now we have two simple equations:
1) 100%=15695.94
2) x%=10231.48
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%=15695.94/10231.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10231.48 is what percent of 15695.94

100%/x%=15695.94/10231.48
(100/x)*x=(15695.94/10231.48)*x       - we multiply both sides of the equation by x
100=1.5340830456591*x       - we divide both sides of the equation by (1.5340830456591) to get x
100/1.5340830456591=x
65.185519312638=x
x=65.185519312638

now we have:
10231.48 is 65.185519312638% of 15695.94