35 is what percent of 30.75 - 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 30.75 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 30.75, so we can write it down as 100%=30.75.
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%=30.75
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%=30.75/35
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 30.75

100%/x%=30.75/35
(100/x)*x=(30.75/35)*x       - we multiply both sides of the equation by x
100=0.87857142857143*x       - we divide both sides of the equation by (0.87857142857143) to get x
100/0.87857142857143=x
113.82113821138=x
x=113.82113821138

now we have:
35 is 113.82113821138% of 30.75