6.75 is what percent of 19.45 - 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 19.45 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 19.45, so we can write it down as 100%=19.45.
4. We know, that x% equals 6.75 of the output value, so we can write it down as x%=6.75.
5. Now we have two simple equations:
1) 100%=19.45
2) x%=6.75
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%=19.45/6.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.75 is what percent of 19.45

100%/x%=19.45/6.75
(100/x)*x=(19.45/6.75)*x       - we multiply both sides of the equation by x
100=2.8814814814815*x       - we divide both sides of the equation by (2.8814814814815) to get x
100/2.8814814814815=x
34.704370179949=x
x=34.704370179949

now we have:
6.75 is 34.704370179949% of 19.45