252.02 is what percent of 448.55 - 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 448.55 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 448.55, so we can write it down as 100%=448.55.
4. We know, that x% equals 252.02 of the output value, so we can write it down as x%=252.02.
5. Now we have two simple equations:
1) 100%=448.55
2) x%=252.02
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%=448.55/252.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 252.02 is what percent of 448.55

100%/x%=448.55/252.02
(100/x)*x=(448.55/252.02)*x       - we multiply both sides of the equation by x
100=1.7798190619792*x       - we divide both sides of the equation by (1.7798190619792) to get x
100/1.7798190619792=x
56.18548656783=x
x=56.18548656783

now we have:
252.02 is 56.18548656783% of 448.55