What is 1.019 percent of 1.04 - 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 1.04 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 1.04 is 100%, so we can write it down as 1.04=100%.
4. We know, that x is 1.019% of the output value, so we can write it down as x=1.019%.
5. Now we have two simple equations:
1) 1.04=100%
2) x=1.019%
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:
1.04/x=100%/1.019%
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 1.019% of 1.04

1.04/x=100/1.019
(1.04/x)*x=(100/1.019)*x       - we multiply both sides of the equation by x
1.04=98.135426889107*x       - we divide both sides of the equation by (98.135426889107) to get x
1.04/98.135426889107=x
0.0105976=x
x=0.0105976

now we have:
1.019% of 1.04=0.0105976