What is 105.8 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 105.8% of the output value, so we can write it down as x=105.8%.
5. Now we have two simple equations:
1) 150=100%
2) x=105.8%
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%/105.8%
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 105.8% of 150

150/x=100/105.8
(150/x)*x=(100/105.8)*x       - we multiply both sides of the equation by x
150=0.94517958412098*x       - we divide both sides of the equation by (0.94517958412098) to get x
150/0.94517958412098=x
158.7=x
x=158.7

now we have:
105.8% of 150=158.7