What is 165 percent of 187.5 - 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 187.5 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 187.5 is 100%, so we can write it down as 187.5=100%.
4. We know, that x is 165% of the output value, so we can write it down as x=165%.
5. Now we have two simple equations:
1) 187.5=100%
2) x=165%
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:
187.5/x=100%/165%
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 165% of 187.5

187.5/x=100/165
(187.5/x)*x=(100/165)*x       - we multiply both sides of the equation by x
187.5=0.60606060606061*x       - we divide both sides of the equation by (0.60606060606061) to get x
187.5/0.60606060606061=x
309.375=x
x=309.375

now we have:
165% of 187.5=309.375