15.1 is what percent of 165.1 - 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 165.1 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 165.1, so we can write it down as 100%=165.1.
4. We know, that x% equals 15.1 of the output value, so we can write it down as x%=15.1.
5. Now we have two simple equations:
1) 100%=165.1
2) x%=15.1
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%=165.1/15.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.1 is what percent of 165.1

100%/x%=165.1/15.1
(100/x)*x=(165.1/15.1)*x       - we multiply both sides of the equation by x
100=10.933774834437*x       - we divide both sides of the equation by (10.933774834437) to get x
100/10.933774834437=x
9.1459721380981=x
x=9.1459721380981

now we have:
15.1 is 9.1459721380981% of 165.1