15.1 is what percent of 18.7 - 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 18.7 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 18.7, so we can write it down as 100%=18.7.
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%=18.7
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%=18.7/15.1
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 18.7

100%/x%=18.7/15.1
(100/x)*x=(18.7/15.1)*x       - we multiply both sides of the equation by x
100=1.2384105960265*x       - we divide both sides of the equation by (1.2384105960265) to get x
100/1.2384105960265=x
80.748663101604=x
x=80.748663101604

now we have:
15.1 is 80.748663101604% of 18.7