89.54 is what percent of 471.28 - 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 471.28 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 471.28, so we can write it down as 100%=471.28.
4. We know, that x% equals 89.54 of the output value, so we can write it down as x%=89.54.
5. Now we have two simple equations:
1) 100%=471.28
2) x%=89.54
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%=471.28/89.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 89.54 is what percent of 471.28

100%/x%=471.28/89.54
(100/x)*x=(471.28/89.54)*x       - we multiply both sides of the equation by x
100=5.2633459906187*x       - we divide both sides of the equation by (5.2633459906187) to get x
100/5.2633459906187=x
18.999320998133=x
x=18.999320998133

now we have:
89.54 is 18.999320998133% of 471.28