1.28 is what percent of 69.4 - 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 69.4 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 69.4, so we can write it down as 100%=69.4.
4. We know, that x% equals 1.28 of the output value, so we can write it down as x%=1.28.
5. Now we have two simple equations:
1) 100%=69.4
2) x%=1.28
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%=69.4/1.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.28 is what percent of 69.4

100%/x%=69.4/1.28
(100/x)*x=(69.4/1.28)*x       - we multiply both sides of the equation by x
100=54.21875*x       - we divide both sides of the equation by (54.21875) to get x
100/54.21875=x
1.8443804034582=x
x=1.8443804034582

now we have:
1.28 is 1.8443804034582% of 69.4