21.44 is what percent of 315.3 - 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 315.3 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 315.3, so we can write it down as 100%=315.3.
4. We know, that x% equals 21.44 of the output value, so we can write it down as x%=21.44.
5. Now we have two simple equations:
1) 100%=315.3
2) x%=21.44
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%=315.3/21.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.44 is what percent of 315.3

100%/x%=315.3/21.44
(100/x)*x=(315.3/21.44)*x       - we multiply both sides of the equation by x
100=14.706156716418*x       - we divide both sides of the equation by (14.706156716418) to get x
100/14.706156716418=x
6.7998731366952=x
x=6.7998731366952

now we have:
21.44 is 6.7998731366952% of 315.3