1. We assume, that the number 312 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 312, so we can write it down as 100%=312.
4. We know, that x% equals 78 of the output value, so we can write it down as x%=78.
5. Now we have two simple equations:
1) 100%=312
2) x%=78
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%=312/78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 78 is what percent of 312
100%/x%=312/78
(100/x)*x=(312/78)*x - we multiply both sides of the equation by x
100=4*x - we divide both sides of the equation by (4) to get x
100/4=x
25=x
x=25
now we have:
78 is 25% of 312
