14.75 is what percent of 799.75 - 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 799.75 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 799.75, so we can write it down as 100%=799.75.
4. We know, that x% equals 14.75 of the output value, so we can write it down as x%=14.75.
5. Now we have two simple equations:
1) 100%=799.75
2) x%=14.75
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%=799.75/14.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.75 is what percent of 799.75

100%/x%=799.75/14.75
(100/x)*x=(799.75/14.75)*x       - we multiply both sides of the equation by x
100=54.220338983051*x       - we divide both sides of the equation by (54.220338983051) to get x
100/54.220338983051=x
1.844326351985=x
x=1.844326351985

now we have:
14.75 is 1.844326351985% of 799.75