10.31 is what percent of 44.69 - 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 44.69 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 44.69, so we can write it down as 100%=44.69.
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%=44.69
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%=44.69/10.31
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 44.69

100%/x%=44.69/10.31
(100/x)*x=(44.69/10.31)*x       - we multiply both sides of the equation by x
100=4.3346265761397*x       - we divide both sides of the equation by (4.3346265761397) to get x
100/4.3346265761397=x
23.07003803983=x
x=23.07003803983

now we have:
10.31 is 23.07003803983% of 44.69