112.8 is what percent of 379.3 - 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 379.3 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 379.3, so we can write it down as 100%=379.3.
4. We know, that x% equals 112.8 of the output value, so we can write it down as x%=112.8.
5. Now we have two simple equations:
1) 100%=379.3
2) x%=112.8
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%=379.3/112.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 112.8 is what percent of 379.3

100%/x%=379.3/112.8
(100/x)*x=(379.3/112.8)*x       - we multiply both sides of the equation by x
100=3.3625886524823*x       - we divide both sides of the equation by (3.3625886524823) to get x
100/3.3625886524823=x
29.738992881624=x
x=29.738992881624

now we have:
112.8 is 29.738992881624% of 379.3