35 is what percent of 483.07 - 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 483.07 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 483.07, so we can write it down as 100%=483.07.
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%=483.07
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%=483.07/35
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 483.07

100%/x%=483.07/35
(100/x)*x=(483.07/35)*x       - we multiply both sides of the equation by x
100=13.802*x       - we divide both sides of the equation by (13.802) to get x
100/13.802=x
7.2453267642371=x
x=7.2453267642371

now we have:
35 is 7.2453267642371% of 483.07