44.5 is what percent of 29.5 - 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 29.5 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 29.5, so we can write it down as 100%=29.5.
4. We know, that x% equals 44.5 of the output value, so we can write it down as x%=44.5.
5. Now we have two simple equations:
1) 100%=29.5
2) x%=44.5
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%=29.5/44.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.5 is what percent of 29.5

100%/x%=29.5/44.5
(100/x)*x=(29.5/44.5)*x       - we multiply both sides of the equation by x
100=0.66292134831461*x       - we divide both sides of the equation by (0.66292134831461) to get x
100/0.66292134831461=x
150.84745762712=x
x=150.84745762712

now we have:
44.5 is 150.84745762712% of 29.5