46.46 is what percent of 149.8 - 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 149.8 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 149.8, so we can write it down as 100%=149.8.
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%=149.8
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%=149.8/46.46
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 149.8

100%/x%=149.8/46.46
(100/x)*x=(149.8/46.46)*x       - we multiply both sides of the equation by x
100=3.2242789496341*x       - we divide both sides of the equation by (3.2242789496341) to get x
100/3.2242789496341=x
31.014686248331=x
x=31.014686248331

now we have:
46.46 is 31.014686248331% of 149.8