30.99 is what percent of 326.25 - 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 326.25 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 326.25, so we can write it down as 100%=326.25.
4. We know, that x% equals 30.99 of the output value, so we can write it down as x%=30.99.
5. Now we have two simple equations:
1) 100%=326.25
2) x%=30.99
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%=326.25/30.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.99 is what percent of 326.25

100%/x%=326.25/30.99
(100/x)*x=(326.25/30.99)*x       - we multiply both sides of the equation by x
100=10.527589545015*x       - we divide both sides of the equation by (10.527589545015) to get x
100/10.527589545015=x
9.4988505747126=x
x=9.4988505747126

now we have:
30.99 is 9.4988505747126% of 326.25