464.27 is what percent of 471.72 - 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 471.72 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 471.72, so we can write it down as 100%=471.72.
4. We know, that x% equals 464.27 of the output value, so we can write it down as x%=464.27.
5. Now we have two simple equations:
1) 100%=471.72
2) x%=464.27
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%=471.72/464.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 464.27 is what percent of 471.72

100%/x%=471.72/464.27
(100/x)*x=(471.72/464.27)*x       - we multiply both sides of the equation by x
100=1.0160466969651*x       - we divide both sides of the equation by (1.0160466969651) to get x
100/1.0160466969651=x
98.42067328076=x
x=98.42067328076

now we have:
464.27 is 98.42067328076% of 471.72