7 is what percent of 36.63 - 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 36.63 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 36.63, so we can write it down as 100%=36.63.
4. We know, that x% equals 7 of the output value, so we can write it down as x%=7.
5. Now we have two simple equations:
1) 100%=36.63
2) x%=7
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%=36.63/7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7 is what percent of 36.63

100%/x%=36.63/7
(100/x)*x=(36.63/7)*x       - we multiply both sides of the equation by x
100=5.2328571428571*x       - we divide both sides of the equation by (5.2328571428571) to get x
100/5.2328571428571=x
19.110019110019=x
x=19.110019110019

now we have:
7 is 19.110019110019% of 36.63