85.48 is what percent of 447.94 - 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 447.94 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 447.94, so we can write it down as 100%=447.94.
4. We know, that x% equals 85.48 of the output value, so we can write it down as x%=85.48.
5. Now we have two simple equations:
1) 100%=447.94
2) x%=85.48
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%=447.94/85.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85.48 is what percent of 447.94

100%/x%=447.94/85.48
(100/x)*x=(447.94/85.48)*x       - we multiply both sides of the equation by x
100=5.2402901263453*x       - we divide both sides of the equation by (5.2402901263453) to get x
100/5.2402901263453=x
19.082912890119=x
x=19.082912890119

now we have:
85.48 is 19.082912890119% of 447.94