21 is what percent of 27.09 - 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 27.09 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 27.09, so we can write it down as 100%=27.09.
4. We know, that x% equals 21 of the output value, so we can write it down as x%=21.
5. Now we have two simple equations:
1) 100%=27.09
2) x%=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%=27.09/21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21 is what percent of 27.09

100%/x%=27.09/21
(100/x)*x=(27.09/21)*x       - we multiply both sides of the equation by x
100=1.29*x       - we divide both sides of the equation by (1.29) to get x
100/1.29=x
77.519379844961=x
x=77.519379844961

now we have:
21 is 77.519379844961% of 27.09