What is 7.77 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 7.77% of the output value, so we can write it down as x=7.77%.
5. Now we have two simple equations:
1) 775=100%
2) x=7.77%
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%/7.77%
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 7.77% of 775

775/x=100/7.77
(775/x)*x=(100/7.77)*x       - we multiply both sides of the equation by x
775=12.870012870013*x       - we divide both sides of the equation by (12.870012870013) to get x
775/12.870012870013=x
60.2175=x
x=60.2175

now we have:
7.77% of 775=60.2175