74 is what percent of 6975 - 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 6975 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 6975, so we can write it down as 100%=6975.
4. We know, that x% equals 74 of the output value, so we can write it down as x%=74.
5. Now we have two simple equations:
1) 100%=6975
2) x%=74
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%=6975/74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74 is what percent of 6975

100%/x%=6975/74
(100/x)*x=(6975/74)*x       - we multiply both sides of the equation by x
100=94.256756756757*x       - we divide both sides of the equation by (94.256756756757) to get x
100/94.256756756757=x
1.0609318996416=x
x=1.0609318996416

now we have:
74 is 1.0609318996416% of 6975