What is 0.3 percent of 419 - 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 419 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 419 is 100%, so we can write it down as 419=100%.
4. We know, that x is 0.3% of the output value, so we can write it down as x=0.3%.
5. Now we have two simple equations:
1) 419=100%
2) x=0.3%
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:
419/x=100%/0.3%
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 0.3% of 419

419/x=100/0.3
(419/x)*x=(100/0.3)*x       - we multiply both sides of the equation by x
419=333.33333333333*x       - we divide both sides of the equation by (333.33333333333) to get x
419/333.33333333333=x
1.257=x
x=1.257

now we have:
0.3% of 419=1.257