46 is what percent of 249 - 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 249 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 249, so we can write it down as 100%=249.
4. We know, that x% equals 46 of the output value, so we can write it down as x%=46.
5. Now we have two simple equations:
1) 100%=249
2) x%=46
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%=249/46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46 is what percent of 249

100%/x%=249/46
(100/x)*x=(249/46)*x       - we multiply both sides of the equation by x
100=5.4130434782609*x       - we divide both sides of the equation by (5.4130434782609) to get x
100/5.4130434782609=x
18.473895582329=x
x=18.473895582329

now we have:
46 is 18.473895582329% of 249