7.42 is what percent of 7.84 - 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 7.84 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 7.84, so we can write it down as 100%=7.84.
4. We know, that x% equals 7.42 of the output value, so we can write it down as x%=7.42.
5. Now we have two simple equations:
1) 100%=7.84
2) x%=7.42
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%=7.84/7.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.42 is what percent of 7.84

100%/x%=7.84/7.42
(100/x)*x=(7.84/7.42)*x       - we multiply both sides of the equation by x
100=1.0566037735849*x       - we divide both sides of the equation by (1.0566037735849) to get x
100/1.0566037735849=x
94.642857142857=x
x=94.642857142857

now we have:
7.42 is 94.642857142857% of 7.84