0.2 is what percent of 4.6 - 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 4.6 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 4.6, so we can write it down as 100%=4.6.
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%=4.6
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%=4.6/0.2
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 4.6

100%/x%=4.6/0.2
(100/x)*x=(4.6/0.2)*x       - we multiply both sides of the equation by x
100=23*x       - we divide both sides of the equation by (23) to get x
100/23=x
4.3478260869565=x
x=4.3478260869565

now we have:
0.2 is 4.3478260869565% of 4.6