35.95 is what percent of 569.1 - 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 569.1 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 569.1, so we can write it down as 100%=569.1.
4. We know, that x% equals 35.95 of the output value, so we can write it down as x%=35.95.
5. Now we have two simple equations:
1) 100%=569.1
2) x%=35.95
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%=569.1/35.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.95 is what percent of 569.1

100%/x%=569.1/35.95
(100/x)*x=(569.1/35.95)*x       - we multiply both sides of the equation by x
100=15.830319888734*x       - we divide both sides of the equation by (15.830319888734) to get x
100/15.830319888734=x
6.316991741346=x
x=6.316991741346

now we have:
35.95 is 6.316991741346% of 569.1