What is 1.765 percent of 1.61 - 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 1.61 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 1.61 is 100%, so we can write it down as 1.61=100%.
4. We know, that x is 1.765% of the output value, so we can write it down as x=1.765%.
5. Now we have two simple equations:
1) 1.61=100%
2) x=1.765%
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:
1.61/x=100%/1.765%
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 1.765% of 1.61

1.61/x=100/1.765
(1.61/x)*x=(100/1.765)*x       - we multiply both sides of the equation by x
1.61=56.657223796034*x       - we divide both sides of the equation by (56.657223796034) to get x
1.61/56.657223796034=x
0.0284165=x
x=0.0284165

now we have:
1.765% of 1.61=0.0284165