What is 6.635 percent of 5795 - 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 5795 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 5795 is 100%, so we can write it down as 5795=100%.
4. We know, that x is 6.635% of the output value, so we can write it down as x=6.635%.
5. Now we have two simple equations:
1) 5795=100%
2) x=6.635%
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:
5795/x=100%/6.635%
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 6.635% of 5795

5795/x=100/6.635
(5795/x)*x=(100/6.635)*x       - we multiply both sides of the equation by x
5795=15.071590052751*x       - we divide both sides of the equation by (15.071590052751) to get x
5795/15.071590052751=x
384.49825=x
x=384.49825

now we have:
6.635% of 5795=384.49825