1. We assume, that the number 56.25 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 56.25, so we can write it down as 100%=56.25.
4. We know, that x% equals 49.5 of the output value, so we can write it down as x%=49.5.
5. Now we have two simple equations:
1) 100%=56.25
2) x%=49.5
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%=56.25/49.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 49.5 is what percent of 56.25
100%/x%=56.25/49.5
(100/x)*x=(56.25/49.5)*x - we multiply both sides of the equation by x
100=1.13636363636*x - we divide both sides of the equation by (1.13636363636) to get x
100/1.13636363636=x
88=x
x=88
now we have:
49.5 is 88% of 56.25
