3971.48 is what percent of 10739.84 - 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 10739.84 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 10739.84, so we can write it down as 100%=10739.84.
4. We know, that x% equals 3971.48 of the output value, so we can write it down as x%=3971.48.
5. Now we have two simple equations:
1) 100%=10739.84
2) x%=3971.48
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%=10739.84/3971.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3971.48 is what percent of 10739.84

100%/x%=10739.84/3971.48
(100/x)*x=(10739.84/3971.48)*x       - we multiply both sides of the equation by x
100=2.7042412400415*x       - we divide both sides of the equation by (2.7042412400415) to get x
100/2.7042412400415=x
36.978949407068=x
x=36.978949407068

now we have:
3971.48 is 36.978949407068% of 10739.84