755.84 is what percent of 2388 - 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 2388 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 2388, so we can write it down as 100%=2388.
4. We know, that x% equals 755.84 of the output value, so we can write it down as x%=755.84.
5. Now we have two simple equations:
1) 100%=2388
2) x%=755.84
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%=2388/755.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 755.84 is what percent of 2388

100%/x%=2388/755.84
(100/x)*x=(2388/755.84)*x       - we multiply both sides of the equation by x
100=3.1593988145639*x       - we divide both sides of the equation by (3.1593988145639) to get x
100/3.1593988145639=x
31.651591289782=x
x=31.651591289782

now we have:
755.84 is 31.651591289782% of 2388