What is 117.68 percent of 149 - 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 149 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 149 is 100%, so we can write it down as 149=100%.
4. We know, that x is 117.68% of the output value, so we can write it down as x=117.68%.
5. Now we have two simple equations:
1) 149=100%
2) x=117.68%
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:
149/x=100%/117.68%
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 117.68% of 149

149/x=100/117.68
(149/x)*x=(100/117.68)*x       - we multiply both sides of the equation by x
149=0.84976206662135*x       - we divide both sides of the equation by (0.84976206662135) to get x
149/0.84976206662135=x
175.3432=x
x=175.3432

now we have:
117.68% of 149=175.3432