40.48 is what percent of 649100 - 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 649100 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 649100, so we can write it down as 100%=649100.
4. We know, that x% equals 40.48 of the output value, so we can write it down as x%=40.48.
5. Now we have two simple equations:
1) 100%=649100
2) x%=40.48
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%=649100/40.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.48 is what percent of 649100

100%/x%=649100/40.48
(100/x)*x=(649100/40.48)*x       - we multiply both sides of the equation by x
100=16035.079051383*x       - we divide both sides of the equation by (16035.079051383) to get x
100/16035.079051383=x
0.0062363272223078=x
x=0.0062363272223078

now we have:
40.48 is 0.0062363272223078% of 649100