42.38 is what percent of 553.99 - 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 553.99 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 553.99, so we can write it down as 100%=553.99.
4. We know, that x% equals 42.38 of the output value, so we can write it down as x%=42.38.
5. Now we have two simple equations:
1) 100%=553.99
2) x%=42.38
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%=553.99/42.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.38 is what percent of 553.99

100%/x%=553.99/42.38
(100/x)*x=(553.99/42.38)*x       - we multiply both sides of the equation by x
100=13.071967909391*x       - we divide both sides of the equation by (13.071967909391) to get x
100/13.071967909391=x
7.6499575804617=x
x=7.6499575804617

now we have:
42.38 is 7.6499575804617% of 553.99