58.32 is what percent of 448.33 - 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 448.33 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 448.33, so we can write it down as 100%=448.33.
4. We know, that x% equals 58.32 of the output value, so we can write it down as x%=58.32.
5. Now we have two simple equations:
1) 100%=448.33
2) x%=58.32
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%=448.33/58.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58.32 is what percent of 448.33

100%/x%=448.33/58.32
(100/x)*x=(448.33/58.32)*x       - we multiply both sides of the equation by x
100=7.687414266118*x       - we divide both sides of the equation by (7.687414266118) to get x
100/7.687414266118=x
13.008275154462=x
x=13.008275154462

now we have:
58.32 is 13.008275154462% of 448.33