10.49 is what percent of 20.99 - 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 20.99 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 20.99, so we can write it down as 100%=20.99.
4. We know, that x% equals 10.49 of the output value, so we can write it down as x%=10.49.
5. Now we have two simple equations:
1) 100%=20.99
2) x%=10.49
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%=20.99/10.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.49 is what percent of 20.99

100%/x%=20.99/10.49
(100/x)*x=(20.99/10.49)*x       - we multiply both sides of the equation by x
100=2.0009532888465*x       - we divide both sides of the equation by (2.0009532888465) to get x
100/2.0009532888465=x
49.97617913292=x
x=49.97617913292

now we have:
10.49 is 49.97617913292% of 20.99