939.85 is what percent of 37644.21 - 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 37644.21 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 37644.21, so we can write it down as 100%=37644.21.
4. We know, that x% equals 939.85 of the output value, so we can write it down as x%=939.85.
5. Now we have two simple equations:
1) 100%=37644.21
2) x%=939.85
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%=37644.21/939.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 939.85 is what percent of 37644.21

100%/x%=37644.21/939.85
(100/x)*x=(37644.21/939.85)*x       - we multiply both sides of the equation by x
100=40.053423418631*x       - we divide both sides of the equation by (40.053423418631) to get x
100/40.053423418631=x
2.4966654898589=x
x=2.4966654898589

now we have:
939.85 is 2.4966654898589% of 37644.21