74.98 is what percent of 1386 - 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 1386 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 1386, so we can write it down as 100%=1386.
4. We know, that x% equals 74.98 of the output value, so we can write it down as x%=74.98.
5. Now we have two simple equations:
1) 100%=1386
2) x%=74.98
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%=1386/74.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74.98 is what percent of 1386

100%/x%=1386/74.98
(100/x)*x=(1386/74.98)*x       - we multiply both sides of the equation by x
100=18.484929314484*x       - we divide both sides of the equation by (18.484929314484) to get x
100/18.484929314484=x
5.4098124098124=x
x=5.4098124098124

now we have:
74.98 is 5.4098124098124% of 1386