47.43 is what percent of 1146.33 - 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 1146.33 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 1146.33, so we can write it down as 100%=1146.33.
4. We know, that x% equals 47.43 of the output value, so we can write it down as x%=47.43.
5. Now we have two simple equations:
1) 100%=1146.33
2) x%=47.43
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%=1146.33/47.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.43 is what percent of 1146.33

100%/x%=1146.33/47.43
(100/x)*x=(1146.33/47.43)*x       - we multiply both sides of the equation by x
100=24.168880455408*x       - we divide both sides of the equation by (24.168880455408) to get x
100/24.168880455408=x
4.137552013818=x
x=4.137552013818

now we have:
47.43 is 4.137552013818% of 1146.33