27.1 is what percent of 28.15 - 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 28.15 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 28.15, so we can write it down as 100%=28.15.
4. We know, that x% equals 27.1 of the output value, so we can write it down as x%=27.1.
5. Now we have two simple equations:
1) 100%=28.15
2) x%=27.1
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%=28.15/27.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.1 is what percent of 28.15

100%/x%=28.15/27.1
(100/x)*x=(28.15/27.1)*x       - we multiply both sides of the equation by x
100=1.0387453874539*x       - we divide both sides of the equation by (1.0387453874539) to get x
100/1.0387453874539=x
96.269982238011=x
x=96.269982238011

now we have:
27.1 is 96.269982238011% of 28.15