What is 46.15 percent of 3.63 - 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 3.63 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 3.63 is 100%, so we can write it down as 3.63=100%.
4. We know, that x is 46.15% of the output value, so we can write it down as x=46.15%.
5. Now we have two simple equations:
1) 3.63=100%
2) x=46.15%
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:
3.63/x=100%/46.15%
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 46.15% of 3.63

3.63/x=100/46.15
(3.63/x)*x=(100/46.15)*x       - we multiply both sides of the equation by x
3.63=2.1668472372698*x       - we divide both sides of the equation by (2.1668472372698) to get x
3.63/2.1668472372698=x
1.675245=x
x=1.675245

now we have:
46.15% of 3.63=1.675245