74 is what percent of 655 - 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 655 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 655, so we can write it down as 100%=655.
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%=655
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%=655/74
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 655

100%/x%=655/74
(100/x)*x=(655/74)*x       - we multiply both sides of the equation by x
100=8.8513513513514*x       - we divide both sides of the equation by (8.8513513513514) to get x
100/8.8513513513514=x
11.297709923664=x
x=11.297709923664

now we have:
74 is 11.297709923664% of 655