What is 34.65 percent of 77 - 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 77 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 77 is 100%, so we can write it down as 77=100%.
4. We know, that x is 34.65% of the output value, so we can write it down as x=34.65%.
5. Now we have two simple equations:
1) 77=100%
2) x=34.65%
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:
77/x=100%/34.65%
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 34.65% of 77

77/x=100/34.65
(77/x)*x=(100/34.65)*x       - we multiply both sides of the equation by x
77=2.8860028860029*x       - we divide both sides of the equation by (2.8860028860029) to get x
77/2.8860028860029=x
26.6805=x
x=26.6805

now we have:
34.65% of 77=26.6805