218.14 is what percent of 1212 - 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 1212 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 1212, so we can write it down as 100%=1212.
4. We know, that x% equals 218.14 of the output value, so we can write it down as x%=218.14.
5. Now we have two simple equations:
1) 100%=1212
2) x%=218.14
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%=1212/218.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 218.14 is what percent of 1212

100%/x%=1212/218.14
(100/x)*x=(1212/218.14)*x       - we multiply both sides of the equation by x
100=5.5560649124416*x       - we divide both sides of the equation by (5.5560649124416) to get x
100/5.5560649124416=x
17.998349834983=x
x=17.998349834983

now we have:
218.14 is 17.998349834983% of 1212