149.56 is what percent of 103.3 - 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 103.3 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 103.3, so we can write it down as 100%=103.3.
4. We know, that x% equals 149.56 of the output value, so we can write it down as x%=149.56.
5. Now we have two simple equations:
1) 100%=103.3
2) x%=149.56
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%=103.3/149.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 149.56 is what percent of 103.3

100%/x%=103.3/149.56
(100/x)*x=(103.3/149.56)*x       - we multiply both sides of the equation by x
100=0.69069269858251*x       - we divide both sides of the equation by (0.69069269858251) to get x
100/0.69069269858251=x
144.78218780252=x
x=144.78218780252

now we have:
149.56 is 144.78218780252% of 103.3