What is 2 percent of 286.7 - 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 286.7 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 286.7 is 100%, so we can write it down as 286.7=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) 286.7=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:
286.7/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 286.7

286.7/x=100/2
(286.7/x)*x=(100/2)*x       - we multiply both sides of the equation by x
286.7=50*x       - we divide both sides of the equation by (50) to get x
286.7/50=x
5.734=x
x=5.734

now we have:
2% of 286.7=5.734