74 is what percent of 972 - 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 972 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 972, so we can write it down as 100%=972.
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%=972
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%=972/74
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 972

100%/x%=972/74
(100/x)*x=(972/74)*x       - we multiply both sides of the equation by x
100=13.135135135135*x       - we divide both sides of the equation by (13.135135135135) to get x
100/13.135135135135=x
7.6131687242798=x
x=7.6131687242798

now we have:
74 is 7.6131687242798% of 972