149.3 is what percent of 306.2 - 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 306.2 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 306.2, so we can write it down as 100%=306.2.
4. We know, that x% equals 149.3 of the output value, so we can write it down as x%=149.3.
5. Now we have two simple equations:
1) 100%=306.2
2) x%=149.3
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%=306.2/149.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 149.3 is what percent of 306.2

100%/x%=306.2/149.3
(100/x)*x=(306.2/149.3)*x       - we multiply both sides of the equation by x
100=2.0509042196919*x       - we divide both sides of the equation by (2.0509042196919) to get x
100/2.0509042196919=x
48.758981058132=x
x=48.758981058132

now we have:
149.3 is 48.758981058132% of 306.2