38.29 is what percent of 3520 - 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 3520 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 3520, so we can write it down as 100%=3520.
4. We know, that x% equals 38.29 of the output value, so we can write it down as x%=38.29.
5. Now we have two simple equations:
1) 100%=3520
2) x%=38.29
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%=3520/38.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.29 is what percent of 3520

100%/x%=3520/38.29
(100/x)*x=(3520/38.29)*x       - we multiply both sides of the equation by x
100=91.930007834944*x       - we divide both sides of the equation by (91.930007834944) to get x
100/91.930007834944=x
1.0877840909091=x
x=1.0877840909091

now we have:
38.29 is 1.0877840909091% of 3520