7.75 is what percent of 278.97 - 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 278.97 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 100% equals 278.97, so we can write it down as 100%=278.97.
4. We know, that x% equals 7.75 of the output value, so we can write it down as x%=7.75.
5. Now we have two simple equations:
1) 100%=278.97
2) x%=7.75
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:
100%/x%=278.97/7.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.75 is what percent of 278.97

100%/x%=278.97/7.75
(100/x)*x=(278.97/7.75)*x       - we multiply both sides of the equation by x
100=35.996129032258*x       - we divide both sides of the equation by (35.996129032258) to get x
100/35.996129032258=x
2.7780764956805=x
x=2.7780764956805

now we have:
7.75 is 2.7780764956805% of 278.97