242.85 is what percent of 971.39 - 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 971.39 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 971.39, so we can write it down as 100%=971.39.
4. We know, that x% equals 242.85 of the output value, so we can write it down as x%=242.85.
5. Now we have two simple equations:
1) 100%=971.39
2) x%=242.85
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%=971.39/242.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 242.85 is what percent of 971.39

100%/x%=971.39/242.85
(100/x)*x=(971.39/242.85)*x       - we multiply both sides of the equation by x
100=3.9999588223183*x       - we divide both sides of the equation by (3.9999588223183) to get x
100/3.9999588223183=x
25.00025736316=x
x=25.00025736316

now we have:
242.85 is 25.00025736316% of 971.39