35 is what percent of 362.5 - 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 362.5 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 362.5, so we can write it down as 100%=362.5.
4. We know, that x% equals 35 of the output value, so we can write it down as x%=35.
5. Now we have two simple equations:
1) 100%=362.5
2) x%=35
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%=362.5/35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35 is what percent of 362.5

100%/x%=362.5/35
(100/x)*x=(362.5/35)*x       - we multiply both sides of the equation by x
100=10.357142857143*x       - we divide both sides of the equation by (10.357142857143) to get x
100/10.357142857143=x
9.6551724137931=x
x=9.6551724137931

now we have:
35 is 9.6551724137931% of 362.5