21.04 is what percent of 49.96 - 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 49.96 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 49.96, so we can write it down as 100%=49.96.
4. We know, that x% equals 21.04 of the output value, so we can write it down as x%=21.04.
5. Now we have two simple equations:
1) 100%=49.96
2) x%=21.04
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%=49.96/21.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.04 is what percent of 49.96

100%/x%=49.96/21.04
(100/x)*x=(49.96/21.04)*x       - we multiply both sides of the equation by x
100=2.3745247148289*x       - we divide both sides of the equation by (2.3745247148289) to get x
100/2.3745247148289=x
42.113690952762=x
x=42.113690952762

now we have:
21.04 is 42.113690952762% of 49.96