21 is what percent of 5.475 - 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 5.475 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 5.475, so we can write it down as 100%=5.475.
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%=5.475
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%=5.475/21
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 5.475

100%/x%=5.475/21
(100/x)*x=(5.475/21)*x       - we multiply both sides of the equation by x
100=0.26071428571429*x       - we divide both sides of the equation by (0.26071428571429) to get x
100/0.26071428571429=x
383.56164383562=x
x=383.56164383562

now we have:
21 is 383.56164383562% of 5.475