54.17 is what percent of 1046.5 - 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 1046.5 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 1046.5, so we can write it down as 100%=1046.5.
4. We know, that x% equals 54.17 of the output value, so we can write it down as x%=54.17.
5. Now we have two simple equations:
1) 100%=1046.5
2) x%=54.17
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%=1046.5/54.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54.17 is what percent of 1046.5

100%/x%=1046.5/54.17
(100/x)*x=(1046.5/54.17)*x       - we multiply both sides of the equation by x
100=19.318811150083*x       - we divide both sides of the equation by (19.318811150083) to get x
100/19.318811150083=x
5.1763019589107=x
x=5.1763019589107

now we have:
54.17 is 5.1763019589107% of 1046.5