What is 27.07 percent of 49.83 - 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 49.83 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 49.83 is 100%, so we can write it down as 49.83=100%.
4. We know, that x is 27.07% of the output value, so we can write it down as x=27.07%.
5. Now we have two simple equations:
1) 49.83=100%
2) x=27.07%
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:
49.83/x=100%/27.07%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 27.07% of 49.83

49.83/x=100/27.07
(49.83/x)*x=(100/27.07)*x       - we multiply both sides of the equation by x
49.83=3.6941263391208*x       - we divide both sides of the equation by (3.6941263391208) to get x
49.83/3.6941263391208=x
13.488981=x
x=13.488981

now we have:
27.07% of 49.83=13.488981