0.35 is what percent of 1.28 - 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 1.28 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 1.28, so we can write it down as 100%=1.28.
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%=1.28
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%=1.28/0.35
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 1.28

100%/x%=1.28/0.35
(100/x)*x=(1.28/0.35)*x       - we multiply both sides of the equation by x
100=3.6571428571429*x       - we divide both sides of the equation by (3.6571428571429) to get x
100/3.6571428571429=x
27.34375=x
x=27.34375

now we have:
0.35 is 27.34375% of 1.28