42 is what percent of 563 - 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 563 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 563, so we can write it down as 100%=563.
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%=563
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%=563/42
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 563

100%/x%=563/42
(100/x)*x=(563/42)*x       - we multiply both sides of the equation by x
100=13.404761904762*x       - we divide both sides of the equation by (13.404761904762) to get x
100/13.404761904762=x
7.4600355239787=x
x=7.4600355239787

now we have:
42 is 7.4600355239787% of 563