112.94 is what percent of 241.94 - 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 241.94 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 241.94, so we can write it down as 100%=241.94.
4. We know, that x% equals 112.94 of the output value, so we can write it down as x%=112.94.
5. Now we have two simple equations:
1) 100%=241.94
2) x%=112.94
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%=241.94/112.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 112.94 is what percent of 241.94

100%/x%=241.94/112.94
(100/x)*x=(241.94/112.94)*x       - we multiply both sides of the equation by x
100=2.1421993979104*x       - we divide both sides of the equation by (2.1421993979104) to get x
100/2.1421993979104=x
46.680995288088=x
x=46.680995288088

now we have:
112.94 is 46.680995288088% of 241.94