20.99 is what percent of 338.56 - 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 338.56 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 338.56, so we can write it down as 100%=338.56.
4. We know, that x% equals 20.99 of the output value, so we can write it down as x%=20.99.
5. Now we have two simple equations:
1) 100%=338.56
2) x%=20.99
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%=338.56/20.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.99 is what percent of 338.56

100%/x%=338.56/20.99
(100/x)*x=(338.56/20.99)*x       - we multiply both sides of the equation by x
100=16.129585516913*x       - we divide both sides of the equation by (16.129585516913) to get x
100/16.129585516913=x
6.1997873345936=x
x=6.1997873345936

now we have:
20.99 is 6.1997873345936% of 338.56