18 is what percent of 3164 - 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 3164 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 3164, so we can write it down as 100%=3164.
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%=3164
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%=3164/18
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 3164

100%/x%=3164/18
(100/x)*x=(3164/18)*x       - we multiply both sides of the equation by x
100=175.77777777778*x       - we divide both sides of the equation by (175.77777777778) to get x
100/175.77777777778=x
0.56890012642225=x
x=0.56890012642225

now we have:
18 is 0.56890012642225% of 3164