What is 0.77 percent of 465 - 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 465 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 465 is 100%, so we can write it down as 465=100%.
4. We know, that x is 0.77% of the output value, so we can write it down as x=0.77%.
5. Now we have two simple equations:
1) 465=100%
2) x=0.77%
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:
465/x=100%/0.77%
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 0.77% of 465

465/x=100/0.77
(465/x)*x=(100/0.77)*x       - we multiply both sides of the equation by x
465=129.87012987013*x       - we divide both sides of the equation by (129.87012987013) to get x
465/129.87012987013=x
3.5805=x
x=3.5805

now we have:
0.77% of 465=3.5805