What is 82.142857142857 percent of 30 - 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 30 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 30 is 100%, so we can write it down as 30=100%.
4. We know, that x is 82.142857142857% of the output value, so we can write it down as x=82.142857142857%.
5. Now we have two simple equations:
1) 30=100%
2) x=82.142857142857%
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:
30/x=100%/82.142857142857%
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 82.142857142857% of 30

30/x=100/82.142857142857
(30/x)*x=(100/82.142857142857)*x       - we multiply both sides of the equation by x
30=1.2173913043478*x       - we divide both sides of the equation by (1.2173913043478) to get x
30/1.2173913043478=x
24.642857142857=x
x=24.642857142857

now we have:
82.142857142857% of 30=24.642857142857