12.18 is what percent of 2435 - 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 2435 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 2435, so we can write it down as 100%=2435.
4. We know, that x% equals 12.18 of the output value, so we can write it down as x%=12.18.
5. Now we have two simple equations:
1) 100%=2435
2) x%=12.18
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%=2435/12.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.18 is what percent of 2435

100%/x%=2435/12.18
(100/x)*x=(2435/12.18)*x       - we multiply both sides of the equation by x
100=199.91789819376*x       - we divide both sides of the equation by (199.91789819376) to get x
100/199.91789819376=x
0.50020533880903=x
x=0.50020533880903

now we have:
12.18 is 0.50020533880903% of 2435