77.75 is what percent of 83.75 - 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 83.75 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 83.75, so we can write it down as 100%=83.75.
4. We know, that x% equals 77.75 of the output value, so we can write it down as x%=77.75.
5. Now we have two simple equations:
1) 100%=83.75
2) x%=77.75
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%=83.75/77.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.75 is what percent of 83.75

100%/x%=83.75/77.75
(100/x)*x=(83.75/77.75)*x       - we multiply both sides of the equation by x
100=1.0771704180064*x       - we divide both sides of the equation by (1.0771704180064) to get x
100/1.0771704180064=x
92.835820895522=x
x=92.835820895522

now we have:
77.75 is 92.835820895522% of 83.75