What is 0.857142 percent of 84 - 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 84 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 84 is 100%, so we can write it down as 84=100%.
4. We know, that x is 0.857142% of the output value, so we can write it down as x=0.857142%.
5. Now we have two simple equations:
1) 84=100%
2) x=0.857142%
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:
84/x=100%/0.857142%
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 0.857142% of 84

84/x=100/0.857142
(84/x)*x=(100/0.857142)*x       - we multiply both sides of the equation by x
84=116.66678333345*x       - we divide both sides of the equation by (116.66678333345) to get x
84/116.66678333345=x
0.71999928=x
x=0.71999928

now we have:
0.857142% of 84=0.71999928