What is 3675 percent of 2.36 - 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 2.36 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 2.36 is 100%, so we can write it down as 2.36=100%.
4. We know, that x is 3675% of the output value, so we can write it down as x=3675%.
5. Now we have two simple equations:
1) 2.36=100%
2) x=3675%
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:
2.36/x=100%/3675%
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 3675% of 2.36

2.36/x=100/3675
(2.36/x)*x=(100/3675)*x       - we multiply both sides of the equation by x
2.36=0.027210884353741*x       - we divide both sides of the equation by (0.027210884353741) to get x
2.36/0.027210884353741=x
86.73=x
x=86.73

now we have:
3675% of 2.36=86.73