4.2 is what percent of 2.09 - 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 2.09 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 2.09, so we can write it down as 100%=2.09.
4. We know, that x% equals 4.2 of the output value, so we can write it down as x%=4.2.
5. Now we have two simple equations:
1) 100%=2.09
2) x%=4.2
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%=2.09/4.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.2 is what percent of 2.09

100%/x%=2.09/4.2
(100/x)*x=(2.09/4.2)*x       - we multiply both sides of the equation by x
100=0.49761904761905*x       - we divide both sides of the equation by (0.49761904761905) to get x
100/0.49761904761905=x
200.95693779904=x
x=200.95693779904

now we have:
4.2 is 200.95693779904% of 2.09