76.7 is what percent of 105 - 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 105 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 105, so we can write it down as 100%=105.
4. We know, that x% equals 76.7 of the output value, so we can write it down as x%=76.7.
5. Now we have two simple equations:
1) 100%=105
2) x%=76.7
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%=105/76.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.7 is what percent of 105

100%/x%=105/76.7
(100/x)*x=(105/76.7)*x       - we multiply both sides of the equation by x
100=1.3689700130378*x       - we divide both sides of the equation by (1.3689700130378) to get x
100/1.3689700130378=x
73.047619047619=x
x=73.047619047619

now we have:
76.7 is 73.047619047619% of 105