3.5 is what percent of 4602 - 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 4602 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 4602, so we can write it down as 100%=4602.
4. We know, that x% equals 3.5 of the output value, so we can write it down as x%=3.5.
5. Now we have two simple equations:
1) 100%=4602
2) x%=3.5
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%=4602/3.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.5 is what percent of 4602

100%/x%=4602/3.5
(100/x)*x=(4602/3.5)*x       - we multiply both sides of the equation by x
100=1314.8571428571*x       - we divide both sides of the equation by (1314.8571428571) to get x
100/1314.8571428571=x
0.076053889613212=x
x=0.076053889613212

now we have:
3.5 is 0.076053889613212% of 4602