29.3 is what percent of 467.9 - 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 467.9 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 467.9, so we can write it down as 100%=467.9.
4. We know, that x% equals 29.3 of the output value, so we can write it down as x%=29.3.
5. Now we have two simple equations:
1) 100%=467.9
2) x%=29.3
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%=467.9/29.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.3 is what percent of 467.9

100%/x%=467.9/29.3
(100/x)*x=(467.9/29.3)*x       - we multiply both sides of the equation by x
100=15.969283276451*x       - we divide both sides of the equation by (15.969283276451) to get x
100/15.969283276451=x
6.2620217995298=x
x=6.2620217995298

now we have:
29.3 is 6.2620217995298% of 467.9