35.85 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 35.85 of the output value, so we can write it down as x%=35.85.
5. Now we have two simple equations:
1) 100%=205
2) x%=35.85
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%=205/35.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.85 is what percent of 205

100%/x%=205/35.85
(100/x)*x=(205/35.85)*x       - we multiply both sides of the equation by x
100=5.7182705718271*x       - we divide both sides of the equation by (5.7182705718271) to get x
100/5.7182705718271=x
17.487804878049=x
x=17.487804878049

now we have:
35.85 is 17.487804878049% of 205