20.92 is what percent of 150.43 - 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 150.43 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 150.43, so we can write it down as 100%=150.43.
4. We know, that x% equals 20.92 of the output value, so we can write it down as x%=20.92.
5. Now we have two simple equations:
1) 100%=150.43
2) x%=20.92
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%=150.43/20.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.92 is what percent of 150.43

100%/x%=150.43/20.92
(100/x)*x=(150.43/20.92)*x       - we multiply both sides of the equation by x
100=7.1907265774379*x       - we divide both sides of the equation by (7.1907265774379) to get x
100/7.1907265774379=x
13.906800505218=x
x=13.906800505218

now we have:
20.92 is 13.906800505218% of 150.43