What is 168.9 percent of 9.4 - 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 9.4 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 9.4 is 100%, so we can write it down as 9.4=100%.
4. We know, that x is 168.9% of the output value, so we can write it down as x=168.9%.
5. Now we have two simple equations:
1) 9.4=100%
2) x=168.9%
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:
9.4/x=100%/168.9%
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 168.9% of 9.4

9.4/x=100/168.9
(9.4/x)*x=(100/168.9)*x       - we multiply both sides of the equation by x
9.4=0.59206631142688*x       - we divide both sides of the equation by (0.59206631142688) to get x
9.4/0.59206631142688=x
15.8766=x
x=15.8766

now we have:
168.9% of 9.4=15.8766