749.32 is what percent of 4615.38 - 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 4615.38 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 4615.38, so we can write it down as 100%=4615.38.
4. We know, that x% equals 749.32 of the output value, so we can write it down as x%=749.32.
5. Now we have two simple equations:
1) 100%=4615.38
2) x%=749.32
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%=4615.38/749.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 749.32 is what percent of 4615.38

100%/x%=4615.38/749.32
(100/x)*x=(4615.38/749.32)*x       - we multiply both sides of the equation by x
100=6.1594245449207*x       - we divide both sides of the equation by (6.1594245449207) to get x
100/6.1594245449207=x
16.23528290195=x
x=16.23528290195

now we have:
749.32 is 16.23528290195% of 4615.38