77 is what percent of 107034 - 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 107034 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 107034, so we can write it down as 100%=107034.
4. We know, that x% equals 77 of the output value, so we can write it down as x%=77.
5. Now we have two simple equations:
1) 100%=107034
2) x%=77
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%=107034/77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77 is what percent of 107034

100%/x%=107034/77
(100/x)*x=(107034/77)*x       - we multiply both sides of the equation by x
100=1390.0519480519*x       - we divide both sides of the equation by (1390.0519480519) to get x
100/1390.0519480519=x
0.071939757460246=x
x=0.071939757460246

now we have:
77 is 0.071939757460246% of 107034