654.64 is what percent of 900.27 - 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 900.27 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 900.27, so we can write it down as 100%=900.27.
4. We know, that x% equals 654.64 of the output value, so we can write it down as x%=654.64.
5. Now we have two simple equations:
1) 100%=900.27
2) x%=654.64
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%=900.27/654.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 654.64 is what percent of 900.27

100%/x%=900.27/654.64
(100/x)*x=(900.27/654.64)*x       - we multiply both sides of the equation by x
100=1.3752138579983*x       - we divide both sides of the equation by (1.3752138579983) to get x
100/1.3752138579983=x
72.715962988881=x
x=72.715962988881

now we have:
654.64 is 72.715962988881% of 900.27