148.74 is what percent of 466.13 - 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 466.13 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 466.13, so we can write it down as 100%=466.13.
4. We know, that x% equals 148.74 of the output value, so we can write it down as x%=148.74.
5. Now we have two simple equations:
1) 100%=466.13
2) x%=148.74
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%=466.13/148.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 148.74 is what percent of 466.13

100%/x%=466.13/148.74
(100/x)*x=(466.13/148.74)*x       - we multiply both sides of the equation by x
100=3.1338577383354*x       - we divide both sides of the equation by (3.1338577383354) to get x
100/3.1338577383354=x
31.909553128955=x
x=31.909553128955

now we have:
148.74 is 31.909553128955% of 466.13