44.85 is what percent of 1467 - 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 1467 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 1467, so we can write it down as 100%=1467.
4. We know, that x% equals 44.85 of the output value, so we can write it down as x%=44.85.
5. Now we have two simple equations:
1) 100%=1467
2) x%=44.85
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%=1467/44.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.85 is what percent of 1467

100%/x%=1467/44.85
(100/x)*x=(1467/44.85)*x       - we multiply both sides of the equation by x
100=32.709030100334*x       - we divide both sides of the equation by (32.709030100334) to get x
100/32.709030100334=x
3.0572597137014=x
x=3.0572597137014

now we have:
44.85 is 3.0572597137014% of 1467