58.93 is what percent of 258.93 - 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 258.93 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 258.93, so we can write it down as 100%=258.93.
4. We know, that x% equals 58.93 of the output value, so we can write it down as x%=58.93.
5. Now we have two simple equations:
1) 100%=258.93
2) x%=58.93
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%=258.93/58.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58.93 is what percent of 258.93

100%/x%=258.93/58.93
(100/x)*x=(258.93/58.93)*x       - we multiply both sides of the equation by x
100=4.3938571186153*x       - we divide both sides of the equation by (4.3938571186153) to get x
100/4.3938571186153=x
22.759046846638=x
x=22.759046846638

now we have:
58.93 is 22.759046846638% of 258.93