2459.48 is what percent of 45355 - 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 45355 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 45355, so we can write it down as 100%=45355.
4. We know, that x% equals 2459.48 of the output value, so we can write it down as x%=2459.48.
5. Now we have two simple equations:
1) 100%=45355
2) x%=2459.48
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%=45355/2459.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2459.48 is what percent of 45355

100%/x%=45355/2459.48
(100/x)*x=(45355/2459.48)*x       - we multiply both sides of the equation by x
100=18.440889944216*x       - we divide both sides of the equation by (18.440889944216) to get x
100/18.440889944216=x
5.4227317826039=x
x=5.4227317826039

now we have:
2459.48 is 5.4227317826039% of 45355