449.9 is what percent of 491 - 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 491 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 491, so we can write it down as 100%=491.
4. We know, that x% equals 449.9 of the output value, so we can write it down as x%=449.9.
5. Now we have two simple equations:
1) 100%=491
2) x%=449.9
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%=491/449.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 449.9 is what percent of 491

100%/x%=491/449.9
(100/x)*x=(491/449.9)*x       - we multiply both sides of the equation by x
100=1.0913536341409*x       - we divide both sides of the equation by (1.0913536341409) to get x
100/1.0913536341409=x
91.62932790224=x
x=91.62932790224

now we have:
449.9 is 91.62932790224% of 491