2994.1 is what percent of 3700 - 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 3700 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 3700, so we can write it down as 100%=3700.
4. We know, that x% equals 2994.1 of the output value, so we can write it down as x%=2994.1.
5. Now we have two simple equations:
1) 100%=3700
2) x%=2994.1
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%=3700/2994.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2994.1 is what percent of 3700

100%/x%=3700/2994.1
(100/x)*x=(3700/2994.1)*x       - we multiply both sides of the equation by x
100=1.2357636685481*x       - we divide both sides of the equation by (1.2357636685481) to get x
100/1.2357636685481=x
80.921621621622=x
x=80.921621621622

now we have:
2994.1 is 80.921621621622% of 3700