168.41 is what percent of 8314.4 - 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 8314.4 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 8314.4, so we can write it down as 100%=8314.4.
4. We know, that x% equals 168.41 of the output value, so we can write it down as x%=168.41.
5. Now we have two simple equations:
1) 100%=8314.4
2) x%=168.41
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%=8314.4/168.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 168.41 is what percent of 8314.4

100%/x%=8314.4/168.41
(100/x)*x=(8314.4/168.41)*x       - we multiply both sides of the equation by x
100=49.369989905588*x       - we divide both sides of the equation by (49.369989905588) to get x
100/49.369989905588=x
2.0255219859521=x
x=2.0255219859521

now we have:
168.41 is 2.0255219859521% of 8314.4