29.99 is what percent of 89.95 - 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 89.95 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 89.95, so we can write it down as 100%=89.95.
4. We know, that x% equals 29.99 of the output value, so we can write it down as x%=29.99.
5. Now we have two simple equations:
1) 100%=89.95
2) x%=29.99
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%=89.95/29.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.99 is what percent of 89.95

100%/x%=89.95/29.99
(100/x)*x=(89.95/29.99)*x       - we multiply both sides of the equation by x
100=2.999333111037*x       - we divide both sides of the equation by (2.999333111037) to get x
100/2.999333111037=x
33.340744858255=x
x=33.340744858255

now we have:
29.99 is 33.340744858255% of 89.95