What is 6.6952380952381 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 6.6952380952381% of the output value, so we can write it down as x=6.6952380952381%.
5. Now we have two simple equations:
1) 84=100%
2) x=6.6952380952381%
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%/6.6952380952381%
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 6.6952380952381% of 84

84/x=100/6.6952380952381
(84/x)*x=(100/6.6952380952381)*x       - we multiply both sides of the equation by x
84=14.935988620199*x       - we divide both sides of the equation by (14.935988620199) to get x
84/14.935988620199=x
5.624=x
x=5.624

now we have:
6.6952380952381% of 84=5.624