0.42 is what percent of 21.2 - 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 21.2 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 21.2, so we can write it down as 100%=21.2.
4. We know, that x% equals 0.42 of the output value, so we can write it down as x%=0.42.
5. Now we have two simple equations:
1) 100%=21.2
2) x%=0.42
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%=21.2/0.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.42 is what percent of 21.2

100%/x%=21.2/0.42
(100/x)*x=(21.2/0.42)*x       - we multiply both sides of the equation by x
100=50.47619047619*x       - we divide both sides of the equation by (50.47619047619) to get x
100/50.47619047619=x
1.9811320754717=x
x=1.9811320754717

now we have:
0.42 is 1.9811320754717% of 21.2