7.6 is what percent of 280 - 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 280 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 280, so we can write it down as 100%=280.
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%=280
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%=280/7.6
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 280

100%/x%=280/7.6
(100/x)*x=(280/7.6)*x       - we multiply both sides of the equation by x
100=36.842105263158*x       - we divide both sides of the equation by (36.842105263158) to get x
100/36.842105263158=x
2.7142857142857=x
x=2.7142857142857

now we have:
7.6 is 2.7142857142857% of 280