0.2 is what percent of 45.64 - 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 45.64 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 45.64, so we can write it down as 100%=45.64.
4. We know, that x% equals 0.2 of the output value, so we can write it down as x%=0.2.
5. Now we have two simple equations:
1) 100%=45.64
2) x%=0.2
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%=45.64/0.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.2 is what percent of 45.64

100%/x%=45.64/0.2
(100/x)*x=(45.64/0.2)*x       - we multiply both sides of the equation by x
100=228.2*x       - we divide both sides of the equation by (228.2) to get x
100/228.2=x
0.43821209465381=x
x=0.43821209465381

now we have:
0.2 is 0.43821209465381% of 45.64