58.4 is what percent of 281.4 - 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 281.4 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 281.4, so we can write it down as 100%=281.4.
4. We know, that x% equals 58.4 of the output value, so we can write it down as x%=58.4.
5. Now we have two simple equations:
1) 100%=281.4
2) x%=58.4
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%=281.4/58.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58.4 is what percent of 281.4

100%/x%=281.4/58.4
(100/x)*x=(281.4/58.4)*x       - we multiply both sides of the equation by x
100=4.8184931506849*x       - we divide both sides of the equation by (4.8184931506849) to get x
100/4.8184931506849=x
20.753375977257=x
x=20.753375977257

now we have:
58.4 is 20.753375977257% of 281.4