73.76 is what percent of 640.24 - 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 640.24 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 640.24, so we can write it down as 100%=640.24.
4. We know, that x% equals 73.76 of the output value, so we can write it down as x%=73.76.
5. Now we have two simple equations:
1) 100%=640.24
2) x%=73.76
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%=640.24/73.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 73.76 is what percent of 640.24

100%/x%=640.24/73.76
(100/x)*x=(640.24/73.76)*x       - we multiply both sides of the equation by x
100=8.6800433839479*x       - we divide both sides of the equation by (8.6800433839479) to get x
100/8.6800433839479=x
11.520679745096=x
x=11.520679745096

now we have:
73.76 is 11.520679745096% of 640.24