1. We assume, that the number 150 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 150, so we can write it down as 100%=150.
4. We know, that x% equals 75 of the output value, so we can write it down as x%=75.
5. Now we have two simple equations:
1) 100%=150
2) x%=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%=150/75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 75 is what percent of 150
100%/x%=150/75
(100/x)*x=(150/75)*x - we multiply both sides of the equation by x
100=2*x - we divide both sides of the equation by (2) to get x
100/2=x
50=x
x=50
now we have:
75 is 50% of 150
