4.4 is what percent of 46 - 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 46 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 46, so we can write it down as 100%=46.
4. We know, that x% equals 4.4 of the output value, so we can write it down as x%=4.4.
5. Now we have two simple equations:
1) 100%=46
2) x%=4.4
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%=46/4.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.4 is what percent of 46

100%/x%=46/4.4
(100/x)*x=(46/4.4)*x       - we multiply both sides of the equation by x
100=10.454545454545*x       - we divide both sides of the equation by (10.454545454545) to get x
100/10.454545454545=x
9.5652173913043=x
x=9.5652173913043

now we have:
4.4 is 9.5652173913043% of 46