46 is what percent of 7384 - 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 7384 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 7384, so we can write it down as 100%=7384.
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%=7384
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%=7384/46
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 7384

100%/x%=7384/46
(100/x)*x=(7384/46)*x       - we multiply both sides of the equation by x
100=160.52173913043*x       - we divide both sides of the equation by (160.52173913043) to get x
100/160.52173913043=x
0.62296858071506=x
x=0.62296858071506

now we have:
46 is 0.62296858071506% of 7384