What is 1.05263157895 percent of 105.263157895 - 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 105.263157895 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 105.263157895 is 100%, so we can write it down as 105.263157895=100%.
4. We know, that x is 1.05263157895% of the output value, so we can write it down as x=1.05263157895%.
5. Now we have two simple equations:
1) 105.263157895=100%
2) x=1.05263157895%
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:
105.263157895/x=100%/1.05263157895%
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 1.05263157895% of 105.263157895

105.263157895/x=100/1.05263157895
(105.263157895/x)*x=(100/1.05263157895)*x       - we multiply both sides of the equation by x
105.263157895=94.999999999762*x       - we divide both sides of the equation by (94.999999999762) to get x
105.263157895/94.999999999762=x
1.1080332410028=x
x=1.1080332410028

now we have:
1.05263157895% of 105.263157895=1.1080332410028