What is 2 percent of 766.42 - 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 766.42 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 766.42 is 100%, so we can write it down as 766.42=100%.
4. We know, that x is 2% of the output value, so we can write it down as x=2%.
5. Now we have two simple equations:
1) 766.42=100%
2) x=2%
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:
766.42/x=100%/2%
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 2% of 766.42

766.42/x=100/2
(766.42/x)*x=(100/2)*x       - we multiply both sides of the equation by x
766.42=50*x       - we divide both sides of the equation by (50) to get x
766.42/50=x
15.3284=x
x=15.3284

now we have:
2% of 766.42=15.3284