0.44 is what percent of 4.26 - 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 4.26 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 4.26, so we can write it down as 100%=4.26.
4. We know, that x% equals 0.44 of the output value, so we can write it down as x%=0.44.
5. Now we have two simple equations:
1) 100%=4.26
2) x%=0.44
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%=4.26/0.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.44 is what percent of 4.26

100%/x%=4.26/0.44
(100/x)*x=(4.26/0.44)*x       - we multiply both sides of the equation by x
100=9.6818181818182*x       - we divide both sides of the equation by (9.6818181818182) to get x
100/9.6818181818182=x
10.328638497653=x
x=10.328638497653

now we have:
0.44 is 10.328638497653% of 4.26