46.3 is what percent of 150.3 - 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 150.3 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 150.3, so we can write it down as 100%=150.3.
4. We know, that x% equals 46.3 of the output value, so we can write it down as x%=46.3.
5. Now we have two simple equations:
1) 100%=150.3
2) x%=46.3
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%=150.3/46.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.3 is what percent of 150.3

100%/x%=150.3/46.3
(100/x)*x=(150.3/46.3)*x       - we multiply both sides of the equation by x
100=3.2462203023758*x       - we divide both sides of the equation by (3.2462203023758) to get x
100/3.2462203023758=x
30.80505655356=x
x=30.80505655356

now we have:
46.3 is 30.80505655356% of 150.3