What is 6.14 percent of 270.75 - 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 270.75 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 270.75 is 100%, so we can write it down as 270.75=100%.
4. We know, that x is 6.14% of the output value, so we can write it down as x=6.14%.
5. Now we have two simple equations:
1) 270.75=100%
2) x=6.14%
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:
270.75/x=100%/6.14%
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 6.14% of 270.75

270.75/x=100/6.14
(270.75/x)*x=(100/6.14)*x       - we multiply both sides of the equation by x
270.75=16.28664495114*x       - we divide both sides of the equation by (16.28664495114) to get x
270.75/16.28664495114=x
16.62405=x
x=16.62405

now we have:
6.14% of 270.75=16.62405