168.4 is what percent of 177 - 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 177 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 100% equals 177, so we can write it down as 100%=177.
4. We know, that x% equals 168.4 of the output value, so we can write it down as x%=168.4.
5. Now we have two simple equations:
1) 100%=177
2) x%=168.4
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:
100%/x%=177/168.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 168.4 is what percent of 177

100%/x%=177/168.4
(100/x)*x=(177/168.4)*x       - we multiply both sides of the equation by x
100=1.0510688836105*x       - we divide both sides of the equation by (1.0510688836105) to get x
100/1.0510688836105=x
95.141242937853=x
x=95.141242937853

now we have:
168.4 is 95.141242937853% of 177