What is 7.67 percent of 508.94 - 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 508.94 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 508.94 is 100%, so we can write it down as 508.94=100%.
4. We know, that x is 7.67% of the output value, so we can write it down as x=7.67%.
5. Now we have two simple equations:
1) 508.94=100%
2) x=7.67%
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:
508.94/x=100%/7.67%
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 7.67% of 508.94

508.94/x=100/7.67
(508.94/x)*x=(100/7.67)*x       - we multiply both sides of the equation by x
508.94=13.037809647979*x       - we divide both sides of the equation by (13.037809647979) to get x
508.94/13.037809647979=x
39.035698=x
x=39.035698

now we have:
7.67% of 508.94=39.035698