7.79 is what percent of 10.13 - 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 10.13 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 10.13, so we can write it down as 100%=10.13.
4. We know, that x% equals 7.79 of the output value, so we can write it down as x%=7.79.
5. Now we have two simple equations:
1) 100%=10.13
2) x%=7.79
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%=10.13/7.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.79 is what percent of 10.13

100%/x%=10.13/7.79
(100/x)*x=(10.13/7.79)*x       - we multiply both sides of the equation by x
100=1.3003851091142*x       - we divide both sides of the equation by (1.3003851091142) to get x
100/1.3003851091142=x
76.900296150049=x
x=76.900296150049

now we have:
7.79 is 76.900296150049% of 10.13