46 is what percent of 613 - 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 613 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 613, so we can write it down as 100%=613.
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%=613
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%=613/46
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 613

100%/x%=613/46
(100/x)*x=(613/46)*x       - we multiply both sides of the equation by x
100=13.326086956522*x       - we divide both sides of the equation by (13.326086956522) to get x
100/13.326086956522=x
7.5040783034258=x
x=7.5040783034258

now we have:
46 is 7.5040783034258% of 613