163.58 is what percent of 1131 - 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 1131 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 1131, so we can write it down as 100%=1131.
4. We know, that x% equals 163.58 of the output value, so we can write it down as x%=163.58.
5. Now we have two simple equations:
1) 100%=1131
2) x%=163.58
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%=1131/163.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 163.58 is what percent of 1131

100%/x%=1131/163.58
(100/x)*x=(1131/163.58)*x       - we multiply both sides of the equation by x
100=6.9140481721482*x       - we divide both sides of the equation by (6.9140481721482) to get x
100/6.9140481721482=x
14.463306808134=x
x=14.463306808134

now we have:
163.58 is 14.463306808134% of 1131