23.5 is what percent of 159.78 - 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 159.78 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 159.78, so we can write it down as 100%=159.78.
4. We know, that x% equals 23.5 of the output value, so we can write it down as x%=23.5.
5. Now we have two simple equations:
1) 100%=159.78
2) x%=23.5
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%=159.78/23.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.5 is what percent of 159.78

100%/x%=159.78/23.5
(100/x)*x=(159.78/23.5)*x       - we multiply both sides of the equation by x
100=6.7991489361702*x       - we divide both sides of the equation by (6.7991489361702) to get x
100/6.7991489361702=x
14.707723119289=x
x=14.707723119289

now we have:
23.5 is 14.707723119289% of 159.78