What is 6.66666666667 percent of 6435 - 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 6435 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 6435 is 100%, so we can write it down as 6435=100%.
4. We know, that x is 6.66666666667% of the output value, so we can write it down as x=6.66666666667%.
5. Now we have two simple equations:
1) 6435=100%
2) x=6.66666666667%
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:
6435/x=100%/6.66666666667%
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 6.66666666667% of 6435

6435/x=100/6.66666666667
(6435/x)*x=(100/6.66666666667)*x       - we multiply both sides of the equation by x
6435=14.999999999993*x       - we divide both sides of the equation by (14.999999999993) to get x
6435/14.999999999993=x
429.00000000021=x
x=429.00000000021

now we have:
6.66666666667% of 6435=429.00000000021