59 is what percent of 109 - 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 109 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 109, so we can write it down as 100%=109.
4. We know, that x% equals 59 of the output value, so we can write it down as x%=59.
5. Now we have two simple equations:
1) 100%=109
2) x%=59
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%=109/59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 59 is what percent of 109

100%/x%=109/59
(100/x)*x=(109/59)*x       - we multiply both sides of the equation by x
100=1.84745762712*x       - we divide both sides of the equation by (1.84745762712) to get x
100/1.84745762712=x
54.128440367=x
x=54.128440367

now we have:
59 is 54.128440367% of 109