3.38 is what percent of 161 - 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 161 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 161, so we can write it down as 100%=161.
4. We know, that x% equals 3.38 of the output value, so we can write it down as x%=3.38.
5. Now we have two simple equations:
1) 100%=161
2) x%=3.38
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%=161/3.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.38 is what percent of 161

100%/x%=161/3.38
(100/x)*x=(161/3.38)*x       - we multiply both sides of the equation by x
100=47.633136094675*x       - we divide both sides of the equation by (47.633136094675) to get x
100/47.633136094675=x
2.0993788819876=x
x=2.0993788819876

now we have:
3.38 is 2.0993788819876% of 161