649.55 is what percent of 2495.95 - 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 2495.95 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 2495.95, so we can write it down as 100%=2495.95.
4. We know, that x% equals 649.55 of the output value, so we can write it down as x%=649.55.
5. Now we have two simple equations:
1) 100%=2495.95
2) x%=649.55
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%=2495.95/649.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 649.55 is what percent of 2495.95

100%/x%=2495.95/649.55
(100/x)*x=(2495.95/649.55)*x       - we multiply both sides of the equation by x
100=3.8425833269186*x       - we divide both sides of the equation by (3.8425833269186) to get x
100/3.8425833269186=x
26.024159137803=x
x=26.024159137803

now we have:
649.55 is 26.024159137803% of 2495.95