138.3 is what percent of 461 - 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 461 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 461, so we can write it down as 100%=461.
4. We know, that x% equals 138.3 of the output value, so we can write it down as x%=138.3.
5. Now we have two simple equations:
1) 100%=461
2) x%=138.3
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%=461/138.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 138.3 is what percent of 461

100%/x%=461/138.3
(100/x)*x=(461/138.3)*x       - we multiply both sides of the equation by x
100=3.3333333333333*x       - we divide both sides of the equation by (3.3333333333333) to get x
100/3.3333333333333=x
30=x
x=30

now we have:
138.3 is 30% of 461