7 is what percent of 4844 - 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 4844 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 4844, so we can write it down as 100%=4844.
4. We know, that x% equals 7 of the output value, so we can write it down as x%=7.
5. Now we have two simple equations:
1) 100%=4844
2) x%=7
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%=4844/7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7 is what percent of 4844

100%/x%=4844/7
(100/x)*x=(4844/7)*x       - we multiply both sides of the equation by x
100=692*x       - we divide both sides of the equation by (692) to get x
100/692=x
0.14450867052023=x
x=0.14450867052023

now we have:
7 is 0.14450867052023% of 4844