What is 2.9 percent of 256.0246667 - 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 256.0246667 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 256.0246667 is 100%, so we can write it down as 256.0246667=100%.
4. We know, that x is 2.9% of the output value, so we can write it down as x=2.9%.
5. Now we have two simple equations:
1) 256.0246667=100%
2) x=2.9%
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:
256.0246667/x=100%/2.9%
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 2.9% of 256.0246667

256.0246667/x=100/2.9
(256.0246667/x)*x=(100/2.9)*x       - we multiply both sides of the equation by x
256.0246667=34.48275862069*x       - we divide both sides of the equation by (34.48275862069) to get x
256.0246667/34.48275862069=x
7.4247153343=x
x=7.4247153343

now we have:
2.9% of 256.0246667=7.4247153343