0.38 is what percent of 164.55 - 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 164.55 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 164.55, so we can write it down as 100%=164.55.
4. We know, that x% equals 0.38 of the output value, so we can write it down as x%=0.38.
5. Now we have two simple equations:
1) 100%=164.55
2) x%=0.38
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%=164.55/0.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.38 is what percent of 164.55

100%/x%=164.55/0.38
(100/x)*x=(164.55/0.38)*x       - we multiply both sides of the equation by x
100=433.02631578947*x       - we divide both sides of the equation by (433.02631578947) to get x
100/433.02631578947=x
0.23093284715892=x
x=0.23093284715892

now we have:
0.38 is 0.23093284715892% of 164.55