7.74 is what percent of 202.5 - 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 202.5 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 202.5, so we can write it down as 100%=202.5.
4. We know, that x% equals 7.74 of the output value, so we can write it down as x%=7.74.
5. Now we have two simple equations:
1) 100%=202.5
2) x%=7.74
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%=202.5/7.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.74 is what percent of 202.5

100%/x%=202.5/7.74
(100/x)*x=(202.5/7.74)*x       - we multiply both sides of the equation by x
100=26.162790697674*x       - we divide both sides of the equation by (26.162790697674) to get x
100/26.162790697674=x
3.8222222222222=x
x=3.8222222222222

now we have:
7.74 is 3.8222222222222% of 202.5