What is 7.74 percent of 775 - 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 775 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 775 is 100%, so we can write it down as 775=100%.
4. We know, that x is 7.74% of the output value, so we can write it down as x=7.74%.
5. Now we have two simple equations:
1) 775=100%
2) x=7.74%
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:
775/x=100%/7.74%
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 7.74% of 775

775/x=100/7.74
(775/x)*x=(100/7.74)*x       - we multiply both sides of the equation by x
775=12.919896640827*x       - we divide both sides of the equation by (12.919896640827) to get x
775/12.919896640827=x
59.985=x
x=59.985

now we have:
7.74% of 775=59.985