38.23 is what percent of 563.86 - 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 563.86 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 563.86, so we can write it down as 100%=563.86.
4. We know, that x% equals 38.23 of the output value, so we can write it down as x%=38.23.
5. Now we have two simple equations:
1) 100%=563.86
2) x%=38.23
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%=563.86/38.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.23 is what percent of 563.86

100%/x%=563.86/38.23
(100/x)*x=(563.86/38.23)*x       - we multiply both sides of the equation by x
100=14.749149882291*x       - we divide both sides of the equation by (14.749149882291) to get x
100/14.749149882291=x
6.7800517859043=x
x=6.7800517859043

now we have:
38.23 is 6.7800517859043% of 563.86