7.82 is what percent of 18.75 - 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 18.75 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 18.75, so we can write it down as 100%=18.75.
4. We know, that x% equals 7.82 of the output value, so we can write it down as x%=7.82.
5. Now we have two simple equations:
1) 100%=18.75
2) x%=7.82
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%=18.75/7.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.82 is what percent of 18.75

100%/x%=18.75/7.82
(100/x)*x=(18.75/7.82)*x       - we multiply both sides of the equation by x
100=2.3976982097187*x       - we divide both sides of the equation by (2.3976982097187) to get x
100/2.3976982097187=x
41.706666666667=x
x=41.706666666667

now we have:
7.82 is 41.706666666667% of 18.75