46 is what percent of 653 - 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 653 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 653, so we can write it down as 100%=653.
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%=653
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%=653/46
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 653

100%/x%=653/46
(100/x)*x=(653/46)*x       - we multiply both sides of the equation by x
100=14.195652173913*x       - we divide both sides of the equation by (14.195652173913) to get x
100/14.195652173913=x
7.0444104134763=x
x=7.0444104134763

now we have:
46 is 7.0444104134763% of 653