8.6 is what percent of 1600 - 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 1600 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 100% equals 1600, so we can write it down as 100%=1600.
4. We know, that x% equals 8.6 of the output value, so we can write it down as x%=8.6.
5. Now we have two simple equations:
1) 100%=1600
2) x%=8.6
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:
100%/x%=1600/8.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.6 is what percent of 1600

100%/x%=1600/8.6
(100/x)*x=(1600/8.6)*x       - we multiply both sides of the equation by x
100=186.04651162791*x       - we divide both sides of the equation by (186.04651162791) to get x
100/186.04651162791=x
0.5375=x
x=0.5375

now we have:
8.6 is 0.5375% of 1600