98.98 is what percent of 268.804 - 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 268.804 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 268.804, so we can write it down as 100%=268.804.
4. We know, that x% equals 98.98 of the output value, so we can write it down as x%=98.98.
5. Now we have two simple equations:
1) 100%=268.804
2) x%=98.98
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%=268.804/98.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 98.98 is what percent of 268.804

100%/x%=268.804/98.98
(100/x)*x=(268.804/98.98)*x       - we multiply both sides of the equation by x
100=2.7157405536472*x       - we divide both sides of the equation by (2.7157405536472) to get x
100/2.7157405536472=x
36.822368714751=x
x=36.822368714751

now we have:
98.98 is 36.822368714751% of 268.804