45.9 is what percent of 459 - 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 459 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 459, so we can write it down as 100%=459.
4. We know, that x% equals 45.9 of the output value, so we can write it down as x%=45.9.
5. Now we have two simple equations:
1) 100%=459
2) x%=45.9
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%=459/45.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.9 is what percent of 459

100%/x%=459/45.9
(100/x)*x=(459/45.9)*x       - we multiply both sides of the equation by x
100=10*x       - we divide both sides of the equation by (10) to get x
100/10=x
10=x
x=10

now we have:
45.9 is 10% of 459