466.81 is what percent of 470 - 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 470 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 470, so we can write it down as 100%=470.
4. We know, that x% equals 466.81 of the output value, so we can write it down as x%=466.81.
5. Now we have two simple equations:
1) 100%=470
2) x%=466.81
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%=470/466.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 466.81 is what percent of 470

100%/x%=470/466.81
(100/x)*x=(470/466.81)*x       - we multiply both sides of the equation by x
100=1.0068336153896*x       - we divide both sides of the equation by (1.0068336153896) to get x
100/1.0068336153896=x
99.321276595745=x
x=99.321276595745

now we have:
466.81 is 99.321276595745% of 470