7.75 is what percent of 35679 - 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 35679 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 35679, so we can write it down as 100%=35679.
4. We know, that x% equals 7.75 of the output value, so we can write it down as x%=7.75.
5. Now we have two simple equations:
1) 100%=35679
2) x%=7.75
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%=35679/7.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.75 is what percent of 35679

100%/x%=35679/7.75
(100/x)*x=(35679/7.75)*x       - we multiply both sides of the equation by x
100=4603.7419354839*x       - we divide both sides of the equation by (4603.7419354839) to get x
100/4603.7419354839=x
0.021721460803274=x
x=0.021721460803274

now we have:
7.75 is 0.021721460803274% of 35679