What is 111.1 percent of 150 - 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 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 150 is 100%, so we can write it down as 150=100%.
4. We know, that x is 111.1% of the output value, so we can write it down as x=111.1%.
5. Now we have two simple equations:
1) 150=100%
2) x=111.1%
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:
150/x=100%/111.1%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 111.1% of 150

150/x=100/111.1
(150/x)*x=(100/111.1)*x       - we multiply both sides of the equation by x
150=0.9000900090009*x       - we divide both sides of the equation by (0.9000900090009) to get x
150/0.9000900090009=x
166.65=x
x=166.65

now we have:
111.1% of 150=166.65