30.6 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 30.6 of the output value, so we can write it down as x%=30.6.
5. Now we have two simple equations:
1) 100%=149.8
2) x%=30.6
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%=149.8/30.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.6 is what percent of 149.8

100%/x%=149.8/30.6
(100/x)*x=(149.8/30.6)*x       - we multiply both sides of the equation by x
100=4.8954248366013*x       - we divide both sides of the equation by (4.8954248366013) to get x
100/4.8954248366013=x
20.427236315087=x
x=20.427236315087

now we have:
30.6 is 20.427236315087% of 149.8