0.75 is what percent of 18.76 - 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 18.76 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 18.76, so we can write it down as 100%=18.76.
4. We know, that x% equals 0.75 of the output value, so we can write it down as x%=0.75.
5. Now we have two simple equations:
1) 100%=18.76
2) x%=0.75
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%=18.76/0.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.75 is what percent of 18.76

100%/x%=18.76/0.75
(100/x)*x=(18.76/0.75)*x       - we multiply both sides of the equation by x
100=25.013333333333*x       - we divide both sides of the equation by (25.013333333333) to get x
100/25.013333333333=x
3.997867803838=x
x=3.997867803838

now we have:
0.75 is 3.997867803838% of 18.76