7 is what percent of 765.86 - 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 765.86 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 765.86, so we can write it down as 100%=765.86.
4. We know, that x% equals 7 of the output value, so we can write it down as x%=7.
5. Now we have two simple equations:
1) 100%=765.86
2) x%=7
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%=765.86/7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7 is what percent of 765.86

100%/x%=765.86/7
(100/x)*x=(765.86/7)*x       - we multiply both sides of the equation by x
100=109.40857142857*x       - we divide both sides of the equation by (109.40857142857) to get x
100/109.40857142857=x
0.91400517065782=x
x=0.91400517065782

now we have:
7 is 0.91400517065782% of 765.86