27.21 is what percent of 501.2 - 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 501.2 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 501.2, so we can write it down as 100%=501.2.
4. We know, that x% equals 27.21 of the output value, so we can write it down as x%=27.21.
5. Now we have two simple equations:
1) 100%=501.2
2) x%=27.21
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%=501.2/27.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.21 is what percent of 501.2

100%/x%=501.2/27.21
(100/x)*x=(501.2/27.21)*x       - we multiply both sides of the equation by x
100=18.419698640206*x       - we divide both sides of the equation by (18.419698640206) to get x
100/18.419698640206=x
5.4289704708699=x
x=5.4289704708699

now we have:
27.21 is 5.4289704708699% of 501.2