3.46 is what percent of 41.99 - 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 41.99 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 41.99, so we can write it down as 100%=41.99.
4. We know, that x% equals 3.46 of the output value, so we can write it down as x%=3.46.
5. Now we have two simple equations:
1) 100%=41.99
2) x%=3.46
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%=41.99/3.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.46 is what percent of 41.99

100%/x%=41.99/3.46
(100/x)*x=(41.99/3.46)*x       - we multiply both sides of the equation by x
100=12.135838150289*x       - we divide both sides of the equation by (12.135838150289) to get x
100/12.135838150289=x
8.2400571564658=x
x=8.2400571564658

now we have:
3.46 is 8.2400571564658% of 41.99