490907.78 is what percent of 1169445.98 - 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 1169445.98 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 1169445.98, so we can write it down as 100%=1169445.98.
4. We know, that x% equals 490907.78 of the output value, so we can write it down as x%=490907.78.
5. Now we have two simple equations:
1) 100%=1169445.98
2) x%=490907.78
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%=1169445.98/490907.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 490907.78 is what percent of 1169445.98

100%/x%=1169445.98/490907.78
(100/x)*x=(1169445.98/490907.78)*x       - we multiply both sides of the equation by x
100=2.3822111354601*x       - we divide both sides of the equation by (2.3822111354601) to get x
100/2.3822111354601=x
41.97780730325=x
x=41.97780730325

now we have:
490907.78 is 41.97780730325% of 1169445.98