312.5 is what 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 100% equals 278, so we can write it down as 100%=278.
4. We know, that x% equals 312.5 of the output value, so we can write it down as x%=312.5.
5. Now we have two simple equations:
1) 100%=278
2) x%=312.5
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%=278/312.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 312.5 is what percent of 278

100%/x%=278/312.5
(100/x)*x=(278/312.5)*x       - we multiply both sides of the equation by x
100=0.8896*x       - we divide both sides of the equation by (0.8896) to get x
100/0.8896=x
112.41007194245=x
x=112.41007194245

now we have:
312.5 is 112.41007194245% of 278