What is 11.97 percent of 469.86 - 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 469.86 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 469.86 is 100%, so we can write it down as 469.86=100%.
4. We know, that x is 11.97% of the output value, so we can write it down as x=11.97%.
5. Now we have two simple equations:
1) 469.86=100%
2) x=11.97%
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:
469.86/x=100%/11.97%
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 11.97% of 469.86

469.86/x=100/11.97
(469.86/x)*x=(100/11.97)*x       - we multiply both sides of the equation by x
469.86=8.3542188805347*x       - we divide both sides of the equation by (8.3542188805347) to get x
469.86/8.3542188805347=x
56.242242=x
x=56.242242

now we have:
11.97% of 469.86=56.242242