10.99 is what percent of 20.98 - 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 20.98 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 20.98, so we can write it down as 100%=20.98.
4. We know, that x% equals 10.99 of the output value, so we can write it down as x%=10.99.
5. Now we have two simple equations:
1) 100%=20.98
2) x%=10.99
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%=20.98/10.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.99 is what percent of 20.98

100%/x%=20.98/10.99
(100/x)*x=(20.98/10.99)*x       - we multiply both sides of the equation by x
100=1.909008189263*x       - we divide both sides of the equation by (1.909008189263) to get x
100/1.909008189263=x
52.383222116301=x
x=52.383222116301

now we have:
10.99 is 52.383222116301% of 20.98