112.48 is what percent of 328.94 - 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 328.94 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 328.94, so we can write it down as 100%=328.94.
4. We know, that x% equals 112.48 of the output value, so we can write it down as x%=112.48.
5. Now we have two simple equations:
1) 100%=328.94
2) x%=112.48
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%=328.94/112.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 112.48 is what percent of 328.94

100%/x%=328.94/112.48
(100/x)*x=(328.94/112.48)*x       - we multiply both sides of the equation by x
100=2.9244310099573*x       - we divide both sides of the equation by (2.9244310099573) to get x
100/2.9244310099573=x
34.194685960966=x
x=34.194685960966

now we have:
112.48 is 34.194685960966% of 328.94