What is 53.64 percent of 0.37 - 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 0.37 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 0.37 is 100%, so we can write it down as 0.37=100%.
4. We know, that x is 53.64% of the output value, so we can write it down as x=53.64%.
5. Now we have two simple equations:
1) 0.37=100%
2) x=53.64%
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:
0.37/x=100%/53.64%
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 53.64% of 0.37

0.37/x=100/53.64
(0.37/x)*x=(100/53.64)*x       - we multiply both sides of the equation by x
0.37=1.8642803877703*x       - we divide both sides of the equation by (1.8642803877703) to get x
0.37/1.8642803877703=x
0.198468=x
x=0.198468

now we have:
53.64% of 0.37=0.198468