17.56 is what percent of 45.53 - 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 45.53 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 45.53, so we can write it down as 100%=45.53.
4. We know, that x% equals 17.56 of the output value, so we can write it down as x%=17.56.
5. Now we have two simple equations:
1) 100%=45.53
2) x%=17.56
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%=45.53/17.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.56 is what percent of 45.53

100%/x%=45.53/17.56
(100/x)*x=(45.53/17.56)*x       - we multiply both sides of the equation by x
100=2.5928246013667*x       - we divide both sides of the equation by (2.5928246013667) to get x
100/2.5928246013667=x
38.567977157918=x
x=38.567977157918

now we have:
17.56 is 38.567977157918% of 45.53