540.75 is what percent of 644.75 - 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 644.75 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 644.75, so we can write it down as 100%=644.75.
4. We know, that x% equals 540.75 of the output value, so we can write it down as x%=540.75.
5. Now we have two simple equations:
1) 100%=644.75
2) x%=540.75
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%=644.75/540.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 540.75 is what percent of 644.75

100%/x%=644.75/540.75
(100/x)*x=(644.75/540.75)*x       - we multiply both sides of the equation by x
100=1.1923254738789*x       - we divide both sides of the equation by (1.1923254738789) to get x
100/1.1923254738789=x
83.869716944552=x
x=83.869716944552

now we have:
540.75 is 83.869716944552% of 644.75