7 is what percent of 923 - 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 923 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 923, so we can write it down as 100%=923.
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%=923
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%=923/7
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 923

100%/x%=923/7
(100/x)*x=(923/7)*x       - we multiply both sides of the equation by x
100=131.85714285714*x       - we divide both sides of the equation by (131.85714285714) to get x
100/131.85714285714=x
0.75839653304442=x
x=0.75839653304442

now we have:
7 is 0.75839653304442% of 923