27.21 is what percent of 1256 - 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 1256 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 1256, so we can write it down as 100%=1256.
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%=1256
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%=1256/27.21
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 1256

100%/x%=1256/27.21
(100/x)*x=(1256/27.21)*x       - we multiply both sides of the equation by x
100=46.159500183756*x       - we divide both sides of the equation by (46.159500183756) to get x
100/46.159500183756=x
2.1664012738854=x
x=2.1664012738854

now we have:
27.21 is 2.1664012738854% of 1256