0.35 is what percent of 12.55 - 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 12.55 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 12.55, so we can write it down as 100%=12.55.
4. We know, that x% equals 0.35 of the output value, so we can write it down as x%=0.35.
5. Now we have two simple equations:
1) 100%=12.55
2) x%=0.35
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%=12.55/0.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.35 is what percent of 12.55

100%/x%=12.55/0.35
(100/x)*x=(12.55/0.35)*x       - we multiply both sides of the equation by x
100=35.857142857143*x       - we divide both sides of the equation by (35.857142857143) to get x
100/35.857142857143=x
2.7888446215139=x
x=2.7888446215139

now we have:
0.35 is 2.7888446215139% of 12.55