45.59 is what percent of 18 - 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 18 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 18, so we can write it down as 100%=18.
4. We know, that x% equals 45.59 of the output value, so we can write it down as x%=45.59.
5. Now we have two simple equations:
1) 100%=18
2) x%=45.59
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%=18/45.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.59 is what percent of 18

100%/x%=18/45.59
(100/x)*x=(18/45.59)*x       - we multiply both sides of the equation by x
100=0.39482342618995*x       - we divide both sides of the equation by (0.39482342618995) to get x
100/0.39482342618995=x
253.27777777778=x
x=253.27777777778

now we have:
45.59 is 253.27777777778% of 18