27.29 is what percent of 440.2 - 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 440.2 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 440.2, so we can write it down as 100%=440.2.
4. We know, that x% equals 27.29 of the output value, so we can write it down as x%=27.29.
5. Now we have two simple equations:
1) 100%=440.2
2) x%=27.29
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%=440.2/27.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.29 is what percent of 440.2

100%/x%=440.2/27.29
(100/x)*x=(440.2/27.29)*x       - we multiply both sides of the equation by x
100=16.130450714547*x       - we divide both sides of the equation by (16.130450714547) to get x
100/16.130450714547=x
6.1994547932758=x
x=6.1994547932758

now we have:
27.29 is 6.1994547932758% of 440.2