What is 1.682 percent of 636.93 - 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 636.93 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 636.93 is 100%, so we can write it down as 636.93=100%.
4. We know, that x is 1.682% of the output value, so we can write it down as x=1.682%.
5. Now we have two simple equations:
1) 636.93=100%
2) x=1.682%
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:
636.93/x=100%/1.682%
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 1.682% of 636.93

636.93/x=100/1.682
(636.93/x)*x=(100/1.682)*x       - we multiply both sides of the equation by x
636.93=59.453032104637*x       - we divide both sides of the equation by (59.453032104637) to get x
636.93/59.453032104637=x
10.7131626=x
x=10.7131626

now we have:
1.682% of 636.93=10.7131626