What is 117.25 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 117.25% of the output value, so we can write it down as x=117.25%.
5. Now we have two simple equations:
1) 150=100%
2) x=117.25%
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%/117.25%
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 117.25% of 150

150/x=100/117.25
(150/x)*x=(100/117.25)*x       - we multiply both sides of the equation by x
150=0.85287846481876*x       - we divide both sides of the equation by (0.85287846481876) to get x
150/0.85287846481876=x
175.875=x
x=175.875

now we have:
117.25% of 150=175.875