47.42 is what percent of 1124.63 - 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 1124.63 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 1124.63, so we can write it down as 100%=1124.63.
4. We know, that x% equals 47.42 of the output value, so we can write it down as x%=47.42.
5. Now we have two simple equations:
1) 100%=1124.63
2) x%=47.42
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%=1124.63/47.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.42 is what percent of 1124.63

100%/x%=1124.63/47.42
(100/x)*x=(1124.63/47.42)*x       - we multiply both sides of the equation by x
100=23.716364403205*x       - we divide both sides of the equation by (23.716364403205) to get x
100/23.716364403205=x
4.2164978704107=x
x=4.2164978704107

now we have:
47.42 is 4.2164978704107% of 1124.63