38.23 is what percent of 2794.28 - 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 2794.28 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 2794.28, so we can write it down as 100%=2794.28.
4. We know, that x% equals 38.23 of the output value, so we can write it down as x%=38.23.
5. Now we have two simple equations:
1) 100%=2794.28
2) x%=38.23
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%=2794.28/38.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.23 is what percent of 2794.28

100%/x%=2794.28/38.23
(100/x)*x=(2794.28/38.23)*x       - we multiply both sides of the equation by x
100=73.09128956317*x       - we divide both sides of the equation by (73.09128956317) to get x
100/73.09128956317=x
1.3681520821106=x
x=1.3681520821106

now we have:
38.23 is 1.3681520821106% of 2794.28