4.35 is what percent of 35.9 - 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 35.9 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 35.9, so we can write it down as 100%=35.9.
4. We know, that x% equals 4.35 of the output value, so we can write it down as x%=4.35.
5. Now we have two simple equations:
1) 100%=35.9
2) x%=4.35
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%=35.9/4.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.35 is what percent of 35.9

100%/x%=35.9/4.35
(100/x)*x=(35.9/4.35)*x       - we multiply both sides of the equation by x
100=8.2528735632184*x       - we divide both sides of the equation by (8.2528735632184) to get x
100/8.2528735632184=x
12.116991643454=x
x=12.116991643454

now we have:
4.35 is 12.116991643454% of 35.9