138.55 is what percent of 168.21 - 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 168.21 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 168.21, so we can write it down as 100%=168.21.
4. We know, that x% equals 138.55 of the output value, so we can write it down as x%=138.55.
5. Now we have two simple equations:
1) 100%=168.21
2) x%=138.55
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%=168.21/138.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 138.55 is what percent of 168.21

100%/x%=168.21/138.55
(100/x)*x=(168.21/138.55)*x       - we multiply both sides of the equation by x
100=1.214074341393*x       - we divide both sides of the equation by (1.214074341393) to get x
100/1.214074341393=x
82.367278996492=x
x=82.367278996492

now we have:
138.55 is 82.367278996492% of 168.21