144.6 is what percent of 149 - 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 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, so we can write it down as 100%=149.
4. We know, that x% equals 144.6 of the output value, so we can write it down as x%=144.6.
5. Now we have two simple equations:
1) 100%=149
2) x%=144.6
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%=149/144.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 144.6 is what percent of 149

100%/x%=149/144.6
(100/x)*x=(149/144.6)*x       - we multiply both sides of the equation by x
100=1.030428769018*x       - we divide both sides of the equation by (1.030428769018) to get x
100/1.030428769018=x
97.046979865772=x
x=97.046979865772

now we have:
144.6 is 97.046979865772% of 149