What is 19.047619047619 percent of 2.1 - 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 2.1 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 2.1 is 100%, so we can write it down as 2.1=100%.
4. We know, that x is 19.047619047619% of the output value, so we can write it down as x=19.047619047619%.
5. Now we have two simple equations:
1) 2.1=100%
2) x=19.047619047619%
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:
2.1/x=100%/19.047619047619%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 19.047619047619% of 2.1

2.1/x=100/19.047619047619
(2.1/x)*x=(100/19.047619047619)*x       - we multiply both sides of the equation by x
2.1=5.25*x       - we divide both sides of the equation by (5.25) to get x
2.1/5.25=x
0.4=x
x=0.4

now we have:
19.047619047619% of 2.1=0.4