What is 0.64 percent of 1616.67 - 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 1616.67 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 1616.67 is 100%, so we can write it down as 1616.67=100%.
4. We know, that x is 0.64% of the output value, so we can write it down as x=0.64%.
5. Now we have two simple equations:
1) 1616.67=100%
2) x=0.64%
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:
1616.67/x=100%/0.64%
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 0.64% of 1616.67

1616.67/x=100/0.64
(1616.67/x)*x=(100/0.64)*x       - we multiply both sides of the equation by x
1616.67=156.25*x       - we divide both sides of the equation by (156.25) to get x
1616.67/156.25=x
10.346688=x
x=10.346688

now we have:
0.64% of 1616.67=10.346688