What is 95.95 percent of 76.76 - 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 76.76 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 76.76 is 100%, so we can write it down as 76.76=100%.
4. We know, that x is 95.95% of the output value, so we can write it down as x=95.95%.
5. Now we have two simple equations:
1) 76.76=100%
2) x=95.95%
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:
76.76/x=100%/95.95%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 95.95% of 76.76

76.76/x=100/95.95
(76.76/x)*x=(100/95.95)*x       - we multiply both sides of the equation by x
76.76=1.0422094841063*x       - we divide both sides of the equation by (1.0422094841063) to get x
76.76/1.0422094841063=x
73.65122=x
x=73.65122

now we have:
95.95% of 76.76=73.65122