What is 4.75 percent of 1.165 - 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 1.165 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 1.165 is 100%, so we can write it down as 1.165=100%.
4. We know, that x is 4.75% of the output value, so we can write it down as x=4.75%.
5. Now we have two simple equations:
1) 1.165=100%
2) x=4.75%
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:
1.165/x=100%/4.75%
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 4.75% of 1.165

1.165/x=100/4.75
(1.165/x)*x=(100/4.75)*x       - we multiply both sides of the equation by x
1.165=21.052631578947*x       - we divide both sides of the equation by (21.052631578947) to get x
1.165/21.052631578947=x
0.0553375=x
x=0.0553375

now we have:
4.75% of 1.165=0.0553375