103.96 is what percent of 553.56 - 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 553.56 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 553.56, so we can write it down as 100%=553.56.
4. We know, that x% equals 103.96 of the output value, so we can write it down as x%=103.96.
5. Now we have two simple equations:
1) 100%=553.56
2) x%=103.96
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%=553.56/103.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 103.96 is what percent of 553.56

100%/x%=553.56/103.96
(100/x)*x=(553.56/103.96)*x       - we multiply both sides of the equation by x
100=5.3247402847249*x       - we divide both sides of the equation by (5.3247402847249) to get x
100/5.3247402847249=x
18.780258689212=x
x=18.780258689212

now we have:
103.96 is 18.780258689212% of 553.56