60.33 is what percent of 448.36 - 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 448.36 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 448.36, so we can write it down as 100%=448.36.
4. We know, that x% equals 60.33 of the output value, so we can write it down as x%=60.33.
5. Now we have two simple equations:
1) 100%=448.36
2) x%=60.33
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%=448.36/60.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 60.33 is what percent of 448.36

100%/x%=448.36/60.33
(100/x)*x=(448.36/60.33)*x       - we multiply both sides of the equation by x
100=7.4317918117023*x       - we divide both sides of the equation by (7.4317918117023) to get x
100/7.4317918117023=x
13.455705236863=x
x=13.455705236863

now we have:
60.33 is 13.455705236863% of 448.36