What is 1146 percent of 3745 - 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 3745 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 3745 is 100%, so we can write it down as 3745=100%.
4. We know, that x is 1146% of the output value, so we can write it down as x=1146%.
5. Now we have two simple equations:
1) 3745=100%
2) x=1146%
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:
3745/x=100%/1146%
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 1146% of 3745

3745/x=100/1146
(3745/x)*x=(100/1146)*x       - we multiply both sides of the equation by x
3745=0.087260034904014*x       - we divide both sides of the equation by (0.087260034904014) to get x
3745/0.087260034904014=x
42917.7=x
x=42917.7

now we have:
1146% of 3745=42917.7