75.79 is what percent of 1.148 - 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 1.148 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 1.148, so we can write it down as 100%=1.148.
4. We know, that x% equals 75.79 of the output value, so we can write it down as x%=75.79.
5. Now we have two simple equations:
1) 100%=1.148
2) x%=75.79
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%=1.148/75.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 75.79 is what percent of 1.148

100%/x%=1.148/75.79
(100/x)*x=(1.148/75.79)*x       - we multiply both sides of the equation by x
100=0.015147117033909*x       - we divide both sides of the equation by (0.015147117033909) to get x
100/0.015147117033909=x
6601.9163763066=x
x=6601.9163763066

now we have:
75.79 is 6601.9163763066% of 1.148