What is 6.41 percent of 635.8 - 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 635.8 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 635.8 is 100%, so we can write it down as 635.8=100%.
4. We know, that x is 6.41% of the output value, so we can write it down as x=6.41%.
5. Now we have two simple equations:
1) 635.8=100%
2) x=6.41%
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:
635.8/x=100%/6.41%
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 6.41% of 635.8

635.8/x=100/6.41
(635.8/x)*x=(100/6.41)*x       - we multiply both sides of the equation by x
635.8=15.600624024961*x       - we divide both sides of the equation by (15.600624024961) to get x
635.8/15.600624024961=x
40.75478=x
x=40.75478

now we have:
6.41% of 635.8=40.75478