0.22 is what percent of 0.46 - 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 0.46 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 0.46, so we can write it down as 100%=0.46.
4. We know, that x% equals 0.22 of the output value, so we can write it down as x%=0.22.
5. Now we have two simple equations:
1) 100%=0.46
2) x%=0.22
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%=0.46/0.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.22 is what percent of 0.46

100%/x%=0.46/0.22
(100/x)*x=(0.46/0.22)*x       - we multiply both sides of the equation by x
100=2.0909090909091*x       - we divide both sides of the equation by (2.0909090909091) to get x
100/2.0909090909091=x
47.826086956522=x
x=47.826086956522

now we have:
0.22 is 47.826086956522% of 0.46