18.05 is what percent of 15.6 - 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 15.6 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 15.6, so we can write it down as 100%=15.6.
4. We know, that x% equals 18.05 of the output value, so we can write it down as x%=18.05.
5. Now we have two simple equations:
1) 100%=15.6
2) x%=18.05
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%=15.6/18.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.05 is what percent of 15.6

100%/x%=15.6/18.05
(100/x)*x=(15.6/18.05)*x       - we multiply both sides of the equation by x
100=0.86426592797784*x       - we divide both sides of the equation by (0.86426592797784) to get x
100/0.86426592797784=x
115.70512820513=x
x=115.70512820513

now we have:
18.05 is 115.70512820513% of 15.6