10.31 is what percent of 15.23 - 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 15.23 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 15.23, so we can write it down as 100%=15.23.
4. We know, that x% equals 10.31 of the output value, so we can write it down as x%=10.31.
5. Now we have two simple equations:
1) 100%=15.23
2) x%=10.31
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%=15.23/10.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.31 is what percent of 15.23

100%/x%=15.23/10.31
(100/x)*x=(15.23/10.31)*x       - we multiply both sides of the equation by x
100=1.4772065955383*x       - we divide both sides of the equation by (1.4772065955383) to get x
100/1.4772065955383=x
67.695338148391=x
x=67.695338148391

now we have:
10.31 is 67.695338148391% of 15.23