0.92 is what percent of 20.46 - 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 20.46 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 20.46, so we can write it down as 100%=20.46.
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%=20.46
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%=20.46/0.92
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 20.46

100%/x%=20.46/0.92
(100/x)*x=(20.46/0.92)*x       - we multiply both sides of the equation by x
100=22.239130434783*x       - we divide both sides of the equation by (22.239130434783) to get x
100/22.239130434783=x
4.4965786901271=x
x=4.4965786901271

now we have:
0.92 is 4.4965786901271% of 20.46