74.8 is what percent of 111.6 - 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 111.6 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 111.6, so we can write it down as 100%=111.6.
4. We know, that x% equals 74.8 of the output value, so we can write it down as x%=74.8.
5. Now we have two simple equations:
1) 100%=111.6
2) x%=74.8
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%=111.6/74.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74.8 is what percent of 111.6

100%/x%=111.6/74.8
(100/x)*x=(111.6/74.8)*x       - we multiply both sides of the equation by x
100=1.4919786096257*x       - we divide both sides of the equation by (1.4919786096257) to get x
100/1.4919786096257=x
67.025089605735=x
x=67.025089605735

now we have:
74.8 is 67.025089605735% of 111.6