36.65 is what percent of 6300 - 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 6300 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 6300, so we can write it down as 100%=6300.
4. We know, that x% equals 36.65 of the output value, so we can write it down as x%=36.65.
5. Now we have two simple equations:
1) 100%=6300
2) x%=36.65
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%=6300/36.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.65 is what percent of 6300

100%/x%=6300/36.65
(100/x)*x=(6300/36.65)*x       - we multiply both sides of the equation by x
100=171.8963165075*x       - we divide both sides of the equation by (171.8963165075) to get x
100/171.8963165075=x
0.58174603174603=x
x=0.58174603174603

now we have:
36.65 is 0.58174603174603% of 6300