What is 46.43 percent of 20.75 - 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 20.75 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 20.75 is 100%, so we can write it down as 20.75=100%.
4. We know, that x is 46.43% of the output value, so we can write it down as x=46.43%.
5. Now we have two simple equations:
1) 20.75=100%
2) x=46.43%
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:
20.75/x=100%/46.43%
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 46.43% of 20.75

20.75/x=100/46.43
(20.75/x)*x=(100/46.43)*x       - we multiply both sides of the equation by x
20.75=2.1537798836959*x       - we divide both sides of the equation by (2.1537798836959) to get x
20.75/2.1537798836959=x
9.634225=x
x=9.634225

now we have:
46.43% of 20.75=9.634225