What is 0.83333333 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 0.83333333% of the output value, so we can write it down as x=0.83333333%.
5. Now we have two simple equations:
1) 84=100%
2) x=0.83333333%
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%/0.83333333%
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 0.83333333% of 84

84/x=100/0.83333333
(84/x)*x=(100/0.83333333)*x       - we multiply both sides of the equation by x
84=120.00000048*x       - we divide both sides of the equation by (120.00000048) to get x
84/120.00000048=x
0.6999999972=x
x=0.6999999972

now we have:
0.83333333% of 84=0.6999999972