What is 5.005 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 5.005% of the output value, so we can write it down as x=5.005%.
5. Now we have two simple equations:
1) 77=100%
2) x=5.005%
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%/5.005%
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 5.005% of 77

77/x=100/5.005
(77/x)*x=(100/5.005)*x       - we multiply both sides of the equation by x
77=19.98001998002*x       - we divide both sides of the equation by (19.98001998002) to get x
77/19.98001998002=x
3.85385=x
x=3.85385

now we have:
5.005% of 77=3.85385