112.05 is what percent of 1264 - 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 1264 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 1264, so we can write it down as 100%=1264.
4. We know, that x% equals 112.05 of the output value, so we can write it down as x%=112.05.
5. Now we have two simple equations:
1) 100%=1264
2) x%=112.05
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%=1264/112.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 112.05 is what percent of 1264

100%/x%=1264/112.05
(100/x)*x=(1264/112.05)*x       - we multiply both sides of the equation by x
100=11.28067826863*x       - we divide both sides of the equation by (11.28067826863) to get x
100/11.28067826863=x
8.8647151898734=x
x=8.8647151898734

now we have:
112.05 is 8.8647151898734% of 1264