What is 3.64 percent of 53.82 - 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 53.82 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 53.82 is 100%, so we can write it down as 53.82=100%.
4. We know, that x is 3.64% of the output value, so we can write it down as x=3.64%.
5. Now we have two simple equations:
1) 53.82=100%
2) x=3.64%
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:
53.82/x=100%/3.64%
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 3.64% of 53.82

53.82/x=100/3.64
(53.82/x)*x=(100/3.64)*x       - we multiply both sides of the equation by x
53.82=27.4725274725*x       - we divide both sides of the equation by (27.4725274725) to get x
53.82/27.4725274725=x
1.959048=x
x=1.959048

now we have:
3.64% of 53.82=1.959048