What is 137.5 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 137.5% of the output value, so we can write it down as x=137.5%.
5. Now we have two simple equations:
1) 150=100%
2) x=137.5%
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%/137.5%
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 137.5% of 150

150/x=100/137.5
(150/x)*x=(100/137.5)*x       - we multiply both sides of the equation by x
150=0.72727272727273*x       - we divide both sides of the equation by (0.72727272727273) to get x
150/0.72727272727273=x
206.25=x
x=206.25

now we have:
137.5% of 150=206.25