18 is what percent of 252.4 - 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 252.4 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 252.4, so we can write it down as 100%=252.4.
4. We know, that x% equals 18 of the output value, so we can write it down as x%=18.
5. Now we have two simple equations:
1) 100%=252.4
2) x%=18
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%=252.4/18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18 is what percent of 252.4

100%/x%=252.4/18
(100/x)*x=(252.4/18)*x       - we multiply both sides of the equation by x
100=14.022222222222*x       - we divide both sides of the equation by (14.022222222222) to get x
100/14.022222222222=x
7.1315372424723=x
x=7.1315372424723

now we have:
18 is 7.1315372424723% of 252.4