What is 99.96 percent of 1685 - 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 1685 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 1685 is 100%, so we can write it down as 1685=100%.
4. We know, that x is 99.96% of the output value, so we can write it down as x=99.96%.
5. Now we have two simple equations:
1) 1685=100%
2) x=99.96%
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:
1685/x=100%/99.96%
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 99.96% of 1685

1685/x=100/99.96
(1685/x)*x=(100/99.96)*x       - we multiply both sides of the equation by x
1685=1.000400160064*x       - we divide both sides of the equation by (1.000400160064) to get x
1685/1.000400160064=x
1684.326=x
x=1684.326

now we have:
99.96% of 1685=1684.326