What is 1.192 percent of 3.64 - 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 3.64 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 3.64 is 100%, so we can write it down as 3.64=100%.
4. We know, that x is 1.192% of the output value, so we can write it down as x=1.192%.
5. Now we have two simple equations:
1) 3.64=100%
2) x=1.192%
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:
3.64/x=100%/1.192%
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 1.192% of 3.64

3.64/x=100/1.192
(3.64/x)*x=(100/1.192)*x       - we multiply both sides of the equation by x
3.64=83.892617449664*x       - we divide both sides of the equation by (83.892617449664) to get x
3.64/83.892617449664=x
0.0433888=x
x=0.0433888

now we have:
1.192% of 3.64=0.0433888