7.6 is what percent of 285.8 - 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 285.8 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 285.8, so we can write it down as 100%=285.8.
4. We know, that x% equals 7.6 of the output value, so we can write it down as x%=7.6.
5. Now we have two simple equations:
1) 100%=285.8
2) x%=7.6
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%=285.8/7.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.6 is what percent of 285.8

100%/x%=285.8/7.6
(100/x)*x=(285.8/7.6)*x       - we multiply both sides of the equation by x
100=37.605263157895*x       - we divide both sides of the equation by (37.605263157895) to get x
100/37.605263157895=x
2.6592022393282=x
x=2.6592022393282

now we have:
7.6 is 2.6592022393282% of 285.8