46.46 is what percent of 123.21 - 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 123.21 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 123.21, so we can write it down as 100%=123.21.
4. We know, that x% equals 46.46 of the output value, so we can write it down as x%=46.46.
5. Now we have two simple equations:
1) 100%=123.21
2) x%=46.46
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%=123.21/46.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.46 is what percent of 123.21

100%/x%=123.21/46.46
(100/x)*x=(123.21/46.46)*x       - we multiply both sides of the equation by x
100=2.6519586741283*x       - we divide both sides of the equation by (2.6519586741283) to get x
100/2.6519586741283=x
37.707978248519=x
x=37.707978248519

now we have:
46.46 is 37.707978248519% of 123.21