18 is what percent of 10527 - 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 10527 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 10527, so we can write it down as 100%=10527.
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%=10527
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%=10527/18
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 10527

100%/x%=10527/18
(100/x)*x=(10527/18)*x       - we multiply both sides of the equation by x
100=584.83333333333*x       - we divide both sides of the equation by (584.83333333333) to get x
100/584.83333333333=x
0.17098888572243=x
x=0.17098888572243

now we have:
18 is 0.17098888572243% of 10527