44.99 is what percent of 29.99 - 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 29.99 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 29.99, so we can write it down as 100%=29.99.
4. We know, that x% equals 44.99 of the output value, so we can write it down as x%=44.99.
5. Now we have two simple equations:
1) 100%=29.99
2) x%=44.99
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%=29.99/44.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.99 is what percent of 29.99

100%/x%=29.99/44.99
(100/x)*x=(29.99/44.99)*x       - we multiply both sides of the equation by x
100=0.66659257612803*x       - we divide both sides of the equation by (0.66659257612803) to get x
100/0.66659257612803=x
150.01667222407=x
x=150.01667222407

now we have:
44.99 is 150.01667222407% of 29.99