What is 1.5 percent of 586.41 - 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 586.41 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 586.41 is 100%, so we can write it down as 586.41=100%.
4. We know, that x is 1.5% of the output value, so we can write it down as x=1.5%.
5. Now we have two simple equations:
1) 586.41=100%
2) x=1.5%
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:
586.41/x=100%/1.5%
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 1.5% of 586.41

586.41/x=100/1.5
(586.41/x)*x=(100/1.5)*x       - we multiply both sides of the equation by x
586.41=66.666666666667*x       - we divide both sides of the equation by (66.666666666667) to get x
586.41/66.666666666667=x
8.79615=x
x=8.79615

now we have:
1.5% of 586.41=8.79615