1.83 is what percent of 10.99 - 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 10.99 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 10.99, so we can write it down as 100%=10.99.
4. We know, that x% equals 1.83 of the output value, so we can write it down as x%=1.83.
5. Now we have two simple equations:
1) 100%=10.99
2) x%=1.83
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%=10.99/1.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.83 is what percent of 10.99

100%/x%=10.99/1.83
(100/x)*x=(10.99/1.83)*x       - we multiply both sides of the equation by x
100=6.0054644808743*x       - we divide both sides of the equation by (6.0054644808743) to get x
100/6.0054644808743=x
16.651501364877=x
x=16.651501364877

now we have:
1.83 is 16.651501364877% of 10.99