6.98 is what percent of 163.13 - 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 163.13 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 163.13, so we can write it down as 100%=163.13.
4. We know, that x% equals 6.98 of the output value, so we can write it down as x%=6.98.
5. Now we have two simple equations:
1) 100%=163.13
2) x%=6.98
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%=163.13/6.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.98 is what percent of 163.13

100%/x%=163.13/6.98
(100/x)*x=(163.13/6.98)*x       - we multiply both sides of the equation by x
100=23.37106017192*x       - we divide both sides of the equation by (23.37106017192) to get x
100/23.37106017192=x
4.2787960522283=x
x=4.2787960522283

now we have:
6.98 is 4.2787960522283% of 163.13