28.98 is what percent of 312.633 - 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 312.633 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 312.633, so we can write it down as 100%=312.633.
4. We know, that x% equals 28.98 of the output value, so we can write it down as x%=28.98.
5. Now we have two simple equations:
1) 100%=312.633
2) x%=28.98
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%=312.633/28.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.98 is what percent of 312.633

100%/x%=312.633/28.98
(100/x)*x=(312.633/28.98)*x       - we multiply both sides of the equation by x
100=10.787888198758*x       - we divide both sides of the equation by (10.787888198758) to get x
100/10.787888198758=x
9.2696548349023=x
x=9.2696548349023

now we have:
28.98 is 9.2696548349023% of 312.633