What is 149.8 percent of 117 - 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 117 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 117 is 100%, so we can write it down as 117=100%.
4. We know, that x is 149.8% of the output value, so we can write it down as x=149.8%.
5. Now we have two simple equations:
1) 117=100%
2) x=149.8%
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:
117/x=100%/149.8%
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 149.8% of 117

117/x=100/149.8
(117/x)*x=(100/149.8)*x       - we multiply both sides of the equation by x
117=0.6675567423231*x       - we divide both sides of the equation by (0.6675567423231) to get x
117/0.6675567423231=x
175.266=x
x=175.266

now we have:
149.8% of 117=175.266