2968.37 is what percent of 11837.5 - 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 11837.5 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 11837.5, so we can write it down as 100%=11837.5.
4. We know, that x% equals 2968.37 of the output value, so we can write it down as x%=2968.37.
5. Now we have two simple equations:
1) 100%=11837.5
2) x%=2968.37
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%=11837.5/2968.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2968.37 is what percent of 11837.5

100%/x%=11837.5/2968.37
(100/x)*x=(11837.5/2968.37)*x       - we multiply both sides of the equation by x
100=3.9878788695479*x       - we divide both sides of the equation by (3.9878788695479) to get x
100/3.9878788695479=x
25.075987328405=x
x=25.075987328405

now we have:
2968.37 is 25.075987328405% of 11837.5