20.64 is what percent of 343.95 - 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 343.95 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 343.95, so we can write it down as 100%=343.95.
4. We know, that x% equals 20.64 of the output value, so we can write it down as x%=20.64.
5. Now we have two simple equations:
1) 100%=343.95
2) x%=20.64
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%=343.95/20.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.64 is what percent of 343.95

100%/x%=343.95/20.64
(100/x)*x=(343.95/20.64)*x       - we multiply both sides of the equation by x
100=16.664244186047*x       - we divide both sides of the equation by (16.664244186047) to get x
100/16.664244186047=x
6.0008722197994=x
x=6.0008722197994

now we have:
20.64 is 6.0008722197994% of 343.95