4.49 is what percent of 52.5 - 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 52.5 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 52.5, so we can write it down as 100%=52.5.
4. We know, that x% equals 4.49 of the output value, so we can write it down as x%=4.49.
5. Now we have two simple equations:
1) 100%=52.5
2) x%=4.49
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%=52.5/4.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.49 is what percent of 52.5

100%/x%=52.5/4.49
(100/x)*x=(52.5/4.49)*x       - we multiply both sides of the equation by x
100=11.692650334076*x       - we divide both sides of the equation by (11.692650334076) to get x
100/11.692650334076=x
8.552380952381=x
x=8.552380952381

now we have:
4.49 is 8.552380952381% of 52.5