What is 11.63 percent of 478.89 - 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 478.89 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 478.89 is 100%, so we can write it down as 478.89=100%.
4. We know, that x is 11.63% of the output value, so we can write it down as x=11.63%.
5. Now we have two simple equations:
1) 478.89=100%
2) x=11.63%
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:
478.89/x=100%/11.63%
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 11.63% of 478.89

478.89/x=100/11.63
(478.89/x)*x=(100/11.63)*x       - we multiply both sides of the equation by x
478.89=8.5984522785899*x       - we divide both sides of the equation by (8.5984522785899) to get x
478.89/8.5984522785899=x
55.694907=x
x=55.694907

now we have:
11.63% of 478.89=55.694907