268.96 is what percent of 998 - 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 998 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 998, so we can write it down as 100%=998.
4. We know, that x% equals 268.96 of the output value, so we can write it down as x%=268.96.
5. Now we have two simple equations:
1) 100%=998
2) x%=268.96
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%=998/268.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 268.96 is what percent of 998

100%/x%=998/268.96
(100/x)*x=(998/268.96)*x       - we multiply both sides of the equation by x
100=3.7105889351576*x       - we divide both sides of the equation by (3.7105889351576) to get x
100/3.7105889351576=x
26.949899799599=x
x=26.949899799599

now we have:
268.96 is 26.949899799599% of 998