What is 85.714285714286 percent of 2.4 - 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 2.4 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 2.4 is 100%, so we can write it down as 2.4=100%.
4. We know, that x is 85.714285714286% of the output value, so we can write it down as x=85.714285714286%.
5. Now we have two simple equations:
1) 2.4=100%
2) x=85.714285714286%
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:
2.4/x=100%/85.714285714286%
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 85.714285714286% of 2.4

2.4/x=100/85.714285714286
(2.4/x)*x=(100/85.714285714286)*x       - we multiply both sides of the equation by x
2.4=1.1666666666667*x       - we divide both sides of the equation by (1.1666666666667) to get x
2.4/1.1666666666667=x
2.0571428571429=x
x=2.0571428571429

now we have:
85.714285714286% of 2.4=2.0571428571429