10.3 is what percent of 7.71 - 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 7.71 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 7.71, so we can write it down as 100%=7.71.
4. We know, that x% equals 10.3 of the output value, so we can write it down as x%=10.3.
5. Now we have two simple equations:
1) 100%=7.71
2) x%=10.3
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%=7.71/10.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.3 is what percent of 7.71

100%/x%=7.71/10.3
(100/x)*x=(7.71/10.3)*x       - we multiply both sides of the equation by x
100=0.74854368932039*x       - we divide both sides of the equation by (0.74854368932039) to get x
100/0.74854368932039=x
133.59273670558=x
x=133.59273670558

now we have:
10.3 is 133.59273670558% of 7.71