What is 63.64 percent of 16.53 - 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 16.53 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 16.53 is 100%, so we can write it down as 16.53=100%.
4. We know, that x is 63.64% of the output value, so we can write it down as x=63.64%.
5. Now we have two simple equations:
1) 16.53=100%
2) x=63.64%
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:
16.53/x=100%/63.64%
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 63.64% of 16.53

16.53/x=100/63.64
(16.53/x)*x=(100/63.64)*x       - we multiply both sides of the equation by x
16.53=1.5713387806411*x       - we divide both sides of the equation by (1.5713387806411) to get x
16.53/1.5713387806411=x
10.519692=x
x=10.519692

now we have:
63.64% of 16.53=10.519692