17.5 is what percent of 299 - 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 299 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 299, so we can write it down as 100%=299.
4. We know, that x% equals 17.5 of the output value, so we can write it down as x%=17.5.
5. Now we have two simple equations:
1) 100%=299
2) x%=17.5
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%=299/17.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.5 is what percent of 299

100%/x%=299/17.5
(100/x)*x=(299/17.5)*x       - we multiply both sides of the equation by x
100=17.085714285714*x       - we divide both sides of the equation by (17.085714285714) to get x
100/17.085714285714=x
5.8528428093645=x
x=5.8528428093645

now we have:
17.5 is 5.8528428093645% of 299