7.75 is what percent of 102.1 - 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 102.1 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 102.1, so we can write it down as 100%=102.1.
4. We know, that x% equals 7.75 of the output value, so we can write it down as x%=7.75.
5. Now we have two simple equations:
1) 100%=102.1
2) x%=7.75
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%=102.1/7.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.75 is what percent of 102.1

100%/x%=102.1/7.75
(100/x)*x=(102.1/7.75)*x       - we multiply both sides of the equation by x
100=13.174193548387*x       - we divide both sides of the equation by (13.174193548387) to get x
100/13.174193548387=x
7.590597453477=x
x=7.590597453477

now we have:
7.75 is 7.590597453477% of 102.1