What is 0.04 percent of 742 - 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 742 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 742 is 100%, so we can write it down as 742=100%.
4. We know, that x is 0.04% of the output value, so we can write it down as x=0.04%.
5. Now we have two simple equations:
1) 742=100%
2) x=0.04%
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:
742/x=100%/0.04%
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 0.04% of 742

742/x=100/0.04
(742/x)*x=(100/0.04)*x       - we multiply both sides of the equation by x
742=2500*x       - we divide both sides of the equation by (2500) to get x
742/2500=x
0.2968=x
x=0.2968

now we have:
0.04% of 742=0.2968