0.92 is what percent of 3.38 - 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 3.38 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 3.38, so we can write it down as 100%=3.38.
4. We know, that x% equals 0.92 of the output value, so we can write it down as x%=0.92.
5. Now we have two simple equations:
1) 100%=3.38
2) x%=0.92
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%=3.38/0.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.92 is what percent of 3.38

100%/x%=3.38/0.92
(100/x)*x=(3.38/0.92)*x       - we multiply both sides of the equation by x
100=3.6739130434783*x       - we divide both sides of the equation by (3.6739130434783) to get x
100/3.6739130434783=x
27.218934911243=x
x=27.218934911243

now we have:
0.92 is 27.218934911243% of 3.38