13076.75 is what percent of 37650 - 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 37650 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 37650, so we can write it down as 100%=37650.
4. We know, that x% equals 13076.75 of the output value, so we can write it down as x%=13076.75.
5. Now we have two simple equations:
1) 100%=37650
2) x%=13076.75
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%=37650/13076.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13076.75 is what percent of 37650

100%/x%=37650/13076.75
(100/x)*x=(37650/13076.75)*x       - we multiply both sides of the equation by x
100=2.879155753532*x       - we divide both sides of the equation by (2.879155753532) to get x
100/2.879155753532=x
34.732403718459=x
x=34.732403718459

now we have:
13076.75 is 34.732403718459% of 37650