What is 1.6 percent of 1.029 - 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 1.029 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 1.029 is 100%, so we can write it down as 1.029=100%.
4. We know, that x is 1.6% of the output value, so we can write it down as x=1.6%.
5. Now we have two simple equations:
1) 1.029=100%
2) x=1.6%
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:
1.029/x=100%/1.6%
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 1.6% of 1.029

1.029/x=100/1.6
(1.029/x)*x=(100/1.6)*x       - we multiply both sides of the equation by x
1.029=62.5*x       - we divide both sides of the equation by (62.5) to get x
1.029/62.5=x
0.016464=x
x=0.016464

now we have:
1.6% of 1.029=0.016464