11.26 is what percent of 54.74 - 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 54.74 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 54.74, so we can write it down as 100%=54.74.
4. We know, that x% equals 11.26 of the output value, so we can write it down as x%=11.26.
5. Now we have two simple equations:
1) 100%=54.74
2) x%=11.26
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%=54.74/11.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.26 is what percent of 54.74

100%/x%=54.74/11.26
(100/x)*x=(54.74/11.26)*x       - we multiply both sides of the equation by x
100=4.8614564831261*x       - we divide both sides of the equation by (4.8614564831261) to get x
100/4.8614564831261=x
20.569967117282=x
x=20.569967117282

now we have:
11.26 is 20.569967117282% of 54.74