448.8 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 448.8 of the output value, so we can write it down as x%=448.8.
5. Now we have two simple equations:
1) 100%=470
2) x%=448.8
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%=470/448.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 448.8 is what percent of 470

100%/x%=470/448.8
(100/x)*x=(470/448.8)*x       - we multiply both sides of the equation by x
100=1.0472370766488*x       - we divide both sides of the equation by (1.0472370766488) to get x
100/1.0472370766488=x
95.489361702128=x
x=95.489361702128

now we have:
448.8 is 95.489361702128% of 470