17.97 is what percent of 269.98 - 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 269.98 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 269.98, so we can write it down as 100%=269.98.
4. We know, that x% equals 17.97 of the output value, so we can write it down as x%=17.97.
5. Now we have two simple equations:
1) 100%=269.98
2) x%=17.97
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%=269.98/17.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.97 is what percent of 269.98

100%/x%=269.98/17.97
(100/x)*x=(269.98/17.97)*x       - we multiply both sides of the equation by x
100=15.023928770173*x       - we divide both sides of the equation by (15.023928770173) to get x
100/15.023928770173=x
6.6560485961923=x
x=6.6560485961923

now we have:
17.97 is 6.6560485961923% of 269.98