What is 11.77 percent of 485.57 - 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 485.57 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 485.57 is 100%, so we can write it down as 485.57=100%.
4. We know, that x is 11.77% of the output value, so we can write it down as x=11.77%.
5. Now we have two simple equations:
1) 485.57=100%
2) x=11.77%
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:
485.57/x=100%/11.77%
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 11.77% of 485.57

485.57/x=100/11.77
(485.57/x)*x=(100/11.77)*x       - we multiply both sides of the equation by x
485.57=8.4961767204758*x       - we divide both sides of the equation by (8.4961767204758) to get x
485.57/8.4961767204758=x
57.151589=x
x=57.151589

now we have:
11.77% of 485.57=57.151589