501.42 is what percent of 1931.42 - 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 1931.42 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 1931.42, so we can write it down as 100%=1931.42.
4. We know, that x% equals 501.42 of the output value, so we can write it down as x%=501.42.
5. Now we have two simple equations:
1) 100%=1931.42
2) x%=501.42
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%=1931.42/501.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 501.42 is what percent of 1931.42

100%/x%=1931.42/501.42
(100/x)*x=(1931.42/501.42)*x       - we multiply both sides of the equation by x
100=3.8519006022895*x       - we divide both sides of the equation by (3.8519006022895) to get x
100/3.8519006022895=x
25.961209887026=x
x=25.961209887026

now we have:
501.42 is 25.961209887026% of 1931.42