49.38 is what percent of 21.29 - 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 21.29 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 21.29, so we can write it down as 100%=21.29.
4. We know, that x% equals 49.38 of the output value, so we can write it down as x%=49.38.
5. Now we have two simple equations:
1) 100%=21.29
2) x%=49.38
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%=21.29/49.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.38 is what percent of 21.29

100%/x%=21.29/49.38
(100/x)*x=(21.29/49.38)*x       - we multiply both sides of the equation by x
100=0.43114621304172*x       - we divide both sides of the equation by (0.43114621304172) to get x
100/0.43114621304172=x
231.93987787694=x
x=231.93987787694

now we have:
49.38 is 231.93987787694% of 21.29