446.98 is what percent of 471 - 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 471 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 471, so we can write it down as 100%=471.
4. We know, that x% equals 446.98 of the output value, so we can write it down as x%=446.98.
5. Now we have two simple equations:
1) 100%=471
2) x%=446.98
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%=471/446.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 446.98 is what percent of 471

100%/x%=471/446.98
(100/x)*x=(471/446.98)*x       - we multiply both sides of the equation by x
100=1.0537384223008*x       - we divide both sides of the equation by (1.0537384223008) to get x
100/1.0537384223008=x
94.900212314225=x
x=94.900212314225

now we have:
446.98 is 94.900212314225% of 471