1788.75 is what percent of 5757.75 - 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 5757.75 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 5757.75, so we can write it down as 100%=5757.75.
4. We know, that x% equals 1788.75 of the output value, so we can write it down as x%=1788.75.
5. Now we have two simple equations:
1) 100%=5757.75
2) x%=1788.75
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%=5757.75/1788.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1788.75 is what percent of 5757.75

100%/x%=5757.75/1788.75
(100/x)*x=(5757.75/1788.75)*x       - we multiply both sides of the equation by x
100=3.2188679245283*x       - we divide both sides of the equation by (3.2188679245283) to get x
100/3.2188679245283=x
31.066822977726=x
x=31.066822977726

now we have:
1788.75 is 31.066822977726% of 5757.75