29.98 is what percent of 259 - 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 259 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 259, so we can write it down as 100%=259.
4. We know, that x% equals 29.98 of the output value, so we can write it down as x%=29.98.
5. Now we have two simple equations:
1) 100%=259
2) x%=29.98
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%=259/29.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.98 is what percent of 259

100%/x%=259/29.98
(100/x)*x=(259/29.98)*x       - we multiply both sides of the equation by x
100=8.6390927284857*x       - we divide both sides of the equation by (8.6390927284857) to get x
100/8.6390927284857=x
11.57528957529=x
x=11.57528957529

now we have:
29.98 is 11.57528957529% of 259