3.47 is what percent of 212.46 - 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 212.46 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 212.46, so we can write it down as 100%=212.46.
4. We know, that x% equals 3.47 of the output value, so we can write it down as x%=3.47.
5. Now we have two simple equations:
1) 100%=212.46
2) x%=3.47
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%=212.46/3.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.47 is what percent of 212.46

100%/x%=212.46/3.47
(100/x)*x=(212.46/3.47)*x       - we multiply both sides of the equation by x
100=61.227665706052*x       - we divide both sides of the equation by (61.227665706052) to get x
100/61.227665706052=x
1.6332486115033=x
x=1.6332486115033

now we have:
3.47 is 1.6332486115033% of 212.46