247.67 is what percent of 2000 - 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 2000 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 2000, so we can write it down as 100%=2000.
4. We know, that x% equals 247.67 of the output value, so we can write it down as x%=247.67.
5. Now we have two simple equations:
1) 100%=2000
2) x%=247.67
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%=2000/247.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 247.67 is what percent of 2000

100%/x%=2000/247.67
(100/x)*x=(2000/247.67)*x       - we multiply both sides of the equation by x
100=8.075261436589*x       - we divide both sides of the equation by (8.075261436589) to get x
100/8.075261436589=x
12.3835=x
x=12.3835

now we have:
247.67 is 12.3835% of 2000