3700.08 is what percent of 61800 - 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 61800 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 61800, so we can write it down as 100%=61800.
4. We know, that x% equals 3700.08 of the output value, so we can write it down as x%=3700.08.
5. Now we have two simple equations:
1) 100%=61800
2) x%=3700.08
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%=61800/3700.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3700.08 is what percent of 61800

100%/x%=61800/3700.08
(100/x)*x=(61800/3700.08)*x       - we multiply both sides of the equation by x
100=16.702341570993*x       - we divide both sides of the equation by (16.702341570993) to get x
100/16.702341570993=x
5.9871844660194=x
x=5.9871844660194

now we have:
3700.08 is 5.9871844660194% of 61800