298.16 is what percent of 6800 - 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 6800 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 6800, so we can write it down as 100%=6800.
4. We know, that x% equals 298.16 of the output value, so we can write it down as x%=298.16.
5. Now we have two simple equations:
1) 100%=6800
2) x%=298.16
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%=6800/298.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 298.16 is what percent of 6800

100%/x%=6800/298.16
(100/x)*x=(6800/298.16)*x       - we multiply both sides of the equation by x
100=22.806546820499*x       - we divide both sides of the equation by (22.806546820499) to get x
100/22.806546820499=x
4.3847058823529=x
x=4.3847058823529

now we have:
298.16 is 4.3847058823529% of 6800