83 is what percent of 755 - 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 755 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 755, so we can write it down as 100%=755.
4. We know, that x% equals 83 of the output value, so we can write it down as x%=83.
5. Now we have two simple equations:
1) 100%=755
2) x%=83
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%=755/83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83 is what percent of 755

100%/x%=755/83
(100/x)*x=(755/83)*x       - we multiply both sides of the equation by x
100=9.0963855421687*x       - we divide both sides of the equation by (9.0963855421687) to get x
100/9.0963855421687=x
10.993377483444=x
x=10.993377483444

now we have:
83 is 10.993377483444% of 755