0.99 is what percent of 18.67 - 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 18.67 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 18.67, so we can write it down as 100%=18.67.
4. We know, that x% equals 0.99 of the output value, so we can write it down as x%=0.99.
5. Now we have two simple equations:
1) 100%=18.67
2) x%=0.99
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%=18.67/0.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.99 is what percent of 18.67

100%/x%=18.67/0.99
(100/x)*x=(18.67/0.99)*x       - we multiply both sides of the equation by x
100=18.858585858586*x       - we divide both sides of the equation by (18.858585858586) to get x
100/18.858585858586=x
5.3026245313337=x
x=5.3026245313337

now we have:
0.99 is 5.3026245313337% of 18.67