2.26 is what percent of 13.57 - 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 13.57 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 13.57, so we can write it down as 100%=13.57.
4. We know, that x% equals 2.26 of the output value, so we can write it down as x%=2.26.
5. Now we have two simple equations:
1) 100%=13.57
2) x%=2.26
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%=13.57/2.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.26 is what percent of 13.57

100%/x%=13.57/2.26
(100/x)*x=(13.57/2.26)*x       - we multiply both sides of the equation by x
100=6.0044247787611*x       - we divide both sides of the equation by (6.0044247787611) to get x
100/6.0044247787611=x
16.654384672071=x
x=16.654384672071

now we have:
2.26 is 16.654384672071% of 13.57