11.22 is what percent of 163.87 - 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 163.87 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 163.87, so we can write it down as 100%=163.87.
4. We know, that x% equals 11.22 of the output value, so we can write it down as x%=11.22.
5. Now we have two simple equations:
1) 100%=163.87
2) x%=11.22
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%=163.87/11.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.22 is what percent of 163.87

100%/x%=163.87/11.22
(100/x)*x=(163.87/11.22)*x       - we multiply both sides of the equation by x
100=14.605169340463*x       - we divide both sides of the equation by (14.605169340463) to get x
100/14.605169340463=x
6.8468908280954=x
x=6.8468908280954

now we have:
11.22 is 6.8468908280954% of 163.87