6.75 is what percent of 35.95 - 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 35.95 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 35.95, so we can write it down as 100%=35.95.
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%=35.95
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%=35.95/6.75
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 35.95

100%/x%=35.95/6.75
(100/x)*x=(35.95/6.75)*x       - we multiply both sides of the equation by x
100=5.3259259259259*x       - we divide both sides of the equation by (5.3259259259259) to get x
100/5.3259259259259=x
18.776077885953=x
x=18.776077885953

now we have:
6.75 is 18.776077885953% of 35.95