18 is what percent of 196 - 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 196 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 196, so we can write it down as 100%=196.
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%=196
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%=196/18
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 196

100%/x%=196/18
(100/x)*x=(196/18)*x       - we multiply both sides of the equation by x
100=10.888888888889*x       - we divide both sides of the equation by (10.888888888889) to get x
100/10.888888888889=x
9.1836734693878=x
x=9.1836734693878

now we have:
18 is 9.1836734693878% of 196