59 is what percent of 205 - 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 205 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 205, so we can write it down as 100%=205.
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%=205
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%=205/59
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 205

100%/x%=205/59
(100/x)*x=(205/59)*x       - we multiply both sides of the equation by x
100=3.47457627119*x       - we divide both sides of the equation by (3.47457627119) to get x
100/3.47457627119=x
28.7804878049=x
x=28.7804878049

now we have:
59 is 28.7804878049% of 205