What is 16.78 percent of 1.585 - 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 1.585 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 1.585 is 100%, so we can write it down as 1.585=100%.
4. We know, that x is 16.78% of the output value, so we can write it down as x=16.78%.
5. Now we have two simple equations:
1) 1.585=100%
2) x=16.78%
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:
1.585/x=100%/16.78%
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 16.78% of 1.585

1.585/x=100/16.78
(1.585/x)*x=(100/16.78)*x       - we multiply both sides of the equation by x
1.585=5.9594755661502*x       - we divide both sides of the equation by (5.9594755661502) to get x
1.585/5.9594755661502=x
0.265963=x
x=0.265963

now we have:
16.78% of 1.585=0.265963