49320.4 is what percent of 58024 - 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 58024 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 58024, so we can write it down as 100%=58024.
4. We know, that x% equals 49320.4 of the output value, so we can write it down as x%=49320.4.
5. Now we have two simple equations:
1) 100%=58024
2) x%=49320.4
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%=58024/49320.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49320.4 is what percent of 58024

100%/x%=58024/49320.4
(100/x)*x=(58024/49320.4)*x       - we multiply both sides of the equation by x
100=1.1764705882353*x       - we divide both sides of the equation by (1.1764705882353) to get x
100/1.1764705882353=x
85=x
x=85

now we have:
49320.4 is 85% of 58024