What is 0.17 percent of 42.857 - 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 42.857 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 42.857 is 100%, so we can write it down as 42.857=100%.
4. We know, that x is 0.17% of the output value, so we can write it down as x=0.17%.
5. Now we have two simple equations:
1) 42.857=100%
2) x=0.17%
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:
42.857/x=100%/0.17%
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 0.17% of 42.857

42.857/x=100/0.17
(42.857/x)*x=(100/0.17)*x       - we multiply both sides of the equation by x
42.857=588.23529411765*x       - we divide both sides of the equation by (588.23529411765) to get x
42.857/588.23529411765=x
0.0728569=x
x=0.0728569

now we have:
0.17% of 42.857=0.0728569