135.74 is what percent of 164.28 - 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 164.28 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 164.28, so we can write it down as 100%=164.28.
4. We know, that x% equals 135.74 of the output value, so we can write it down as x%=135.74.
5. Now we have two simple equations:
1) 100%=164.28
2) x%=135.74
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%=164.28/135.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 135.74 is what percent of 164.28

100%/x%=164.28/135.74
(100/x)*x=(164.28/135.74)*x       - we multiply both sides of the equation by x
100=1.2102548990718*x       - we divide both sides of the equation by (1.2102548990718) to get x
100/1.2102548990718=x
82.627221816411=x
x=82.627221816411

now we have:
135.74 is 82.627221816411% of 164.28