15.81 is what percent of 123.18 - 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 123.18 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 123.18, so we can write it down as 100%=123.18.
4. We know, that x% equals 15.81 of the output value, so we can write it down as x%=15.81.
5. Now we have two simple equations:
1) 100%=123.18
2) x%=15.81
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%=123.18/15.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.81 is what percent of 123.18

100%/x%=123.18/15.81
(100/x)*x=(123.18/15.81)*x       - we multiply both sides of the equation by x
100=7.7912713472486*x       - we divide both sides of the equation by (7.7912713472486) to get x
100/7.7912713472486=x
12.834875791525=x
x=12.834875791525

now we have:
15.81 is 12.834875791525% of 123.18