458 is what percent of 9 - 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 9 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 9, so we can write it down as 100%=9.
4. We know, that x% equals 458 of the output value, so we can write it down as x%=458.
5. Now we have two simple equations:
1) 100%=9
2) x%=458
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%=9/458
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 458 is what percent of 9

100%/x%=9/458
(100/x)*x=(9/458)*x       - we multiply both sides of the equation by x
100=0.019650655021834*x       - we divide both sides of the equation by (0.019650655021834) to get x
100/0.019650655021834=x
5088.8888888889=x
x=5088.8888888889

now we have:
458 is 5088.8888888889% of 9