35 is what percent of 4608 - 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 4608 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 4608, so we can write it down as 100%=4608.
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%=4608
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%=4608/35
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 4608

100%/x%=4608/35
(100/x)*x=(4608/35)*x       - we multiply both sides of the equation by x
100=131.65714285714*x       - we divide both sides of the equation by (131.65714285714) to get x
100/131.65714285714=x
0.75954861111111=x
x=0.75954861111111

now we have:
35 is 0.75954861111111% of 4608