45.47 is what percent of 646.49 - 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 646.49 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 646.49, so we can write it down as 100%=646.49.
4. We know, that x% equals 45.47 of the output value, so we can write it down as x%=45.47.
5. Now we have two simple equations:
1) 100%=646.49
2) x%=45.47
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%=646.49/45.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.47 is what percent of 646.49

100%/x%=646.49/45.47
(100/x)*x=(646.49/45.47)*x       - we multiply both sides of the equation by x
100=14.217945898395*x       - we divide both sides of the equation by (14.217945898395) to get x
100/14.217945898395=x
7.0333647852248=x
x=7.0333647852248

now we have:
45.47 is 7.0333647852248% of 646.49