47.8 is what percent of 11.3 - 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 11.3 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 11.3, so we can write it down as 100%=11.3.
4. We know, that x% equals 47.8 of the output value, so we can write it down as x%=47.8.
5. Now we have two simple equations:
1) 100%=11.3
2) x%=47.8
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%=11.3/47.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.8 is what percent of 11.3

100%/x%=11.3/47.8
(100/x)*x=(11.3/47.8)*x       - we multiply both sides of the equation by x
100=0.23640167364017*x       - we divide both sides of the equation by (0.23640167364017) to get x
100/0.23640167364017=x
423.00884955752=x
x=423.00884955752

now we have:
47.8 is 423.00884955752% of 11.3