27.1 is what percent of 29.2 - 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 29.2 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 29.2, so we can write it down as 100%=29.2.
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%=29.2
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%=29.2/27.1
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 29.2

100%/x%=29.2/27.1
(100/x)*x=(29.2/27.1)*x       - we multiply both sides of the equation by x
100=1.0774907749077*x       - we divide both sides of the equation by (1.0774907749077) to get x
100/1.0774907749077=x
92.808219178082=x
x=92.808219178082

now we have:
27.1 is 92.808219178082% of 29.2