19.24 is what percent of 125.24 - 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 125.24 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 125.24, so we can write it down as 100%=125.24.
4. We know, that x% equals 19.24 of the output value, so we can write it down as x%=19.24.
5. Now we have two simple equations:
1) 100%=125.24
2) x%=19.24
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%=125.24/19.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.24 is what percent of 125.24

100%/x%=125.24/19.24
(100/x)*x=(125.24/19.24)*x       - we multiply both sides of the equation by x
100=6.5093555093555*x       - we divide both sides of the equation by (6.5093555093555) to get x
100/6.5093555093555=x
15.362503992335=x
x=15.362503992335

now we have:
19.24 is 15.362503992335% of 125.24