42 is what percent of 258.6 - 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 258.6 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 258.6, so we can write it down as 100%=258.6.
4. We know, that x% equals 42 of the output value, so we can write it down as x%=42.
5. Now we have two simple equations:
1) 100%=258.6
2) x%=42
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%=258.6/42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42 is what percent of 258.6

100%/x%=258.6/42
(100/x)*x=(258.6/42)*x       - we multiply both sides of the equation by x
100=6.1571428571429*x       - we divide both sides of the equation by (6.1571428571429) to get x
100/6.1571428571429=x
16.241299303944=x
x=16.241299303944

now we have:
42 is 16.241299303944% of 258.6