264.72 is what percent of 645 - 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 645 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 645, so we can write it down as 100%=645.
4. We know, that x% equals 264.72 of the output value, so we can write it down as x%=264.72.
5. Now we have two simple equations:
1) 100%=645
2) x%=264.72
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%=645/264.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 264.72 is what percent of 645

100%/x%=645/264.72
(100/x)*x=(645/264.72)*x       - we multiply both sides of the equation by x
100=2.4365367180417*x       - we divide both sides of the equation by (2.4365367180417) to get x
100/2.4365367180417=x
41.041860465116=x
x=41.041860465116

now we have:
264.72 is 41.041860465116% of 645