68.46 is what percent of 3101.96 - 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 3101.96 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 3101.96, so we can write it down as 100%=3101.96.
4. We know, that x% equals 68.46 of the output value, so we can write it down as x%=68.46.
5. Now we have two simple equations:
1) 100%=3101.96
2) x%=68.46
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%=3101.96/68.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 68.46 is what percent of 3101.96

100%/x%=3101.96/68.46
(100/x)*x=(3101.96/68.46)*x       - we multiply both sides of the equation by x
100=45.310546304411*x       - we divide both sides of the equation by (45.310546304411) to get x
100/45.310546304411=x
2.2069917084682=x
x=2.2069917084682

now we have:
68.46 is 2.2069917084682% of 3101.96