128.99 is what percent of 429.98 - 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 429.98 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 429.98, so we can write it down as 100%=429.98.
4. We know, that x% equals 128.99 of the output value, so we can write it down as x%=128.99.
5. Now we have two simple equations:
1) 100%=429.98
2) x%=128.99
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%=429.98/128.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 128.99 is what percent of 429.98

100%/x%=429.98/128.99
(100/x)*x=(429.98/128.99)*x       - we multiply both sides of the equation by x
100=3.3334367005194*x       - we divide both sides of the equation by (3.3334367005194) to get x
100/3.3334367005194=x
29.999069724173=x
x=29.999069724173

now we have:
128.99 is 29.999069724173% of 429.98