5637.8 is what percent of 5775 - 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 5775 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 5775, so we can write it down as 100%=5775.
4. We know, that x% equals 5637.8 of the output value, so we can write it down as x%=5637.8.
5. Now we have two simple equations:
1) 100%=5775
2) x%=5637.8
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%=5775/5637.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5637.8 is what percent of 5775

100%/x%=5775/5637.8
(100/x)*x=(5775/5637.8)*x       - we multiply both sides of the equation by x
100=1.0243357337969*x       - we divide both sides of the equation by (1.0243357337969) to get x
100/1.0243357337969=x
97.624242424242=x
x=97.624242424242

now we have:
5637.8 is 97.624242424242% of 5775