75.95 is what percent of 755.31 - 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 755.31 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 755.31, so we can write it down as 100%=755.31.
4. We know, that x% equals 75.95 of the output value, so we can write it down as x%=75.95.
5. Now we have two simple equations:
1) 100%=755.31
2) x%=75.95
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%=755.31/75.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 75.95 is what percent of 755.31

100%/x%=755.31/75.95
(100/x)*x=(755.31/75.95)*x       - we multiply both sides of the equation by x
100=9.9448321263989*x       - we divide both sides of the equation by (9.9448321263989) to get x
100/9.9448321263989=x
10.055473911374=x
x=10.055473911374

now we have:
75.95 is 10.055473911374% of 755.31