What is 36.3636363636 percent of 7 - 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 7 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 7 is 100%, so we can write it down as 7=100%.
4. We know, that x is 36.3636363636% of the output value, so we can write it down as x=36.3636363636%.
5. Now we have two simple equations:
1) 7=100%
2) x=36.3636363636%
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:
7/x=100%/36.3636363636%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 36.3636363636% of 7

7/x=100/36.3636363636
(7/x)*x=(100/36.3636363636)*x       - we multiply both sides of the equation by x
7=2.7500000000027*x       - we divide both sides of the equation by (2.7500000000027) to get x
7/2.7500000000027=x
2.545454545452=x
x=2.545454545452

now we have:
36.3636363636% of 7=2.545454545452