6.29 is what percent of 103.96 - 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 103.96 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 103.96, so we can write it down as 100%=103.96.
4. We know, that x% equals 6.29 of the output value, so we can write it down as x%=6.29.
5. Now we have two simple equations:
1) 100%=103.96
2) x%=6.29
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%=103.96/6.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.29 is what percent of 103.96

100%/x%=103.96/6.29
(100/x)*x=(103.96/6.29)*x       - we multiply both sides of the equation by x
100=16.527821939587*x       - we divide both sides of the equation by (16.527821939587) to get x
100/16.527821939587=x
6.0504040015391=x
x=6.0504040015391

now we have:
6.29 is 6.0504040015391% of 103.96