2564 is what percent of 2555 - 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 2555 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 2555, so we can write it down as 100%=2555.
4. We know, that x% equals 2564 of the output value, so we can write it down as x%=2564.
5. Now we have two simple equations:
1) 100%=2555
2) x%=2564
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%=2555/2564
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2564 is what percent of 2555

100%/x%=2555/2564
(100/x)*x=(2555/2564)*x       - we multiply both sides of the equation by x
100=0.99648985959438*x       - we divide both sides of the equation by (0.99648985959438) to get x
100/0.99648985959438=x
100.35225048924=x
x=100.35225048924

now we have:
2564 is 100.35225048924% of 2555