What is 0.5 percent of 11586.9 - 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 11586.9 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 11586.9 is 100%, so we can write it down as 11586.9=100%.
4. We know, that x is 0.5% of the output value, so we can write it down as x=0.5%.
5. Now we have two simple equations:
1) 11586.9=100%
2) x=0.5%
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:
11586.9/x=100%/0.5%
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 0.5% of 11586.9

11586.9/x=100/0.5
(11586.9/x)*x=(100/0.5)*x       - we multiply both sides of the equation by x
11586.9=200*x       - we divide both sides of the equation by (200) to get x
11586.9/200=x
57.9345=x
x=57.9345

now we have:
0.5% of 11586.9=57.9345