773.24 is what percent of 3750 - 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 3750 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 3750, so we can write it down as 100%=3750.
4. We know, that x% equals 773.24 of the output value, so we can write it down as x%=773.24.
5. Now we have two simple equations:
1) 100%=3750
2) x%=773.24
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%=3750/773.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 773.24 is what percent of 3750

100%/x%=3750/773.24
(100/x)*x=(3750/773.24)*x       - we multiply both sides of the equation by x
100=4.8497232424603*x       - we divide both sides of the equation by (4.8497232424603) to get x
100/4.8497232424603=x
20.619733333333=x
x=20.619733333333

now we have:
773.24 is 20.619733333333% of 3750