35 is what percent of 465 - 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 465 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 465, so we can write it down as 100%=465.
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%=465
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%=465/35
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 465

100%/x%=465/35
(100/x)*x=(465/35)*x       - we multiply both sides of the equation by x
100=13.285714285714*x       - we divide both sides of the equation by (13.285714285714) to get x
100/13.285714285714=x
7.5268817204301=x
x=7.5268817204301

now we have:
35 is 7.5268817204301% of 465