45.74 is what percent of 640.7 - 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 640.7 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 640.7, so we can write it down as 100%=640.7.
4. We know, that x% equals 45.74 of the output value, so we can write it down as x%=45.74.
5. Now we have two simple equations:
1) 100%=640.7
2) x%=45.74
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%=640.7/45.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.74 is what percent of 640.7

100%/x%=640.7/45.74
(100/x)*x=(640.7/45.74)*x       - we multiply both sides of the equation by x
100=14.007433318758*x       - we divide both sides of the equation by (14.007433318758) to get x
100/14.007433318758=x
7.1390666458561=x
x=7.1390666458561

now we have:
45.74 is 7.1390666458561% of 640.7