7.08 is what percent of 40.84 - 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 40.84 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 40.84, so we can write it down as 100%=40.84.
4. We know, that x% equals 7.08 of the output value, so we can write it down as x%=7.08.
5. Now we have two simple equations:
1) 100%=40.84
2) x%=7.08
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%=40.84/7.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.08 is what percent of 40.84

100%/x%=40.84/7.08
(100/x)*x=(40.84/7.08)*x       - we multiply both sides of the equation by x
100=5.7683615819209*x       - we divide both sides of the equation by (5.7683615819209) to get x
100/5.7683615819209=x
17.335945151812=x
x=17.335945151812

now we have:
7.08 is 17.335945151812% of 40.84