77.14 is what percent of 7 - 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 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, so we can write it down as 100%=7.
4. We know, that x% equals 77.14 of the output value, so we can write it down as x%=77.14.
5. Now we have two simple equations:
1) 100%=7
2) x%=77.14
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%=7/77.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.14 is what percent of 7

100%/x%=7/77.14
(100/x)*x=(7/77.14)*x       - we multiply both sides of the equation by x
100=0.090744101633394*x       - we divide both sides of the equation by (0.090744101633394) to get x
100/0.090744101633394=x
1102=x
x=1102

now we have:
77.14 is 1102% of 7