What is 2.67 percent of 278 - 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 278 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 278 is 100%, so we can write it down as 278=100%.
4. We know, that x is 2.67% of the output value, so we can write it down as x=2.67%.
5. Now we have two simple equations:
1) 278=100%
2) x=2.67%
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:
278/x=100%/2.67%
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 2.67% of 278

278/x=100/2.67
(278/x)*x=(100/2.67)*x       - we multiply both sides of the equation by x
278=37.453183520599*x       - we divide both sides of the equation by (37.453183520599) to get x
278/37.453183520599=x
7.4226=x
x=7.4226

now we have:
2.67% of 278=7.4226