3.38 is what percent of 405.98 - 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 405.98 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 405.98, so we can write it down as 100%=405.98.
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%=405.98
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%=405.98/3.38
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 405.98

100%/x%=405.98/3.38
(100/x)*x=(405.98/3.38)*x       - we multiply both sides of the equation by x
100=120.1124260355*x       - we divide both sides of the equation by (120.1124260355) to get x
100/120.1124260355=x
0.83255332775014=x
x=0.83255332775014

now we have:
3.38 is 0.83255332775014% of 405.98