What is 0.025 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 0.025% of the output value, so we can write it down as x=0.025%.
5. Now we have two simple equations:
1) 278=100%
2) x=0.025%
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%/0.025%
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 0.025% of 278

278/x=100/0.025
(278/x)*x=(100/0.025)*x       - we multiply both sides of the equation by x
278=4000*x       - we divide both sides of the equation by (4000) to get x
278/4000=x
0.0695=x
x=0.0695

now we have:
0.025% of 278=0.0695