0.92 is what percent of 46.14 - 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 46.14 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 46.14, so we can write it down as 100%=46.14.
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%=46.14
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%=46.14/0.92
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 46.14

100%/x%=46.14/0.92
(100/x)*x=(46.14/0.92)*x       - we multiply both sides of the equation by x
100=50.152173913043*x       - we divide both sides of the equation by (50.152173913043) to get x
100/50.152173913043=x
1.9939315127872=x
x=1.9939315127872

now we have:
0.92 is 1.9939315127872% of 46.14