What is 2.137 percent of 385.38 - 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 385.38 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 385.38 is 100%, so we can write it down as 385.38=100%.
4. We know, that x is 2.137% of the output value, so we can write it down as x=2.137%.
5. Now we have two simple equations:
1) 385.38=100%
2) x=2.137%
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:
385.38/x=100%/2.137%
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 2.137% of 385.38

385.38/x=100/2.137
(385.38/x)*x=(100/2.137)*x       - we multiply both sides of the equation by x
385.38=46.794571829668*x       - we divide both sides of the equation by (46.794571829668) to get x
385.38/46.794571829668=x
8.2355706=x
x=8.2355706

now we have:
2.137% of 385.38=8.2355706