491.3 is what percent of 809.83 - 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 809.83 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 809.83, so we can write it down as 100%=809.83.
4. We know, that x% equals 491.3 of the output value, so we can write it down as x%=491.3.
5. Now we have two simple equations:
1) 100%=809.83
2) x%=491.3
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%=809.83/491.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 491.3 is what percent of 809.83

100%/x%=809.83/491.3
(100/x)*x=(809.83/491.3)*x       - we multiply both sides of the equation by x
100=1.6483411357623*x       - we divide both sides of the equation by (1.6483411357623) to get x
100/1.6483411357623=x
60.667053579146=x
x=60.667053579146

now we have:
491.3 is 60.667053579146% of 809.83