0.46 is what percent of 4.46 - 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 4.46 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 4.46, so we can write it down as 100%=4.46.
4. We know, that x% equals 0.46 of the output value, so we can write it down as x%=0.46.
5. Now we have two simple equations:
1) 100%=4.46
2) x%=0.46
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%=4.46/0.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.46 is what percent of 4.46

100%/x%=4.46/0.46
(100/x)*x=(4.46/0.46)*x       - we multiply both sides of the equation by x
100=9.695652173913*x       - we divide both sides of the equation by (9.695652173913) to get x
100/9.695652173913=x
10.313901345291=x
x=10.313901345291

now we have:
0.46 is 10.313901345291% of 4.46