71 is what percent of 78.77 - 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 78.77 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 78.77, so we can write it down as 100%=78.77.
4. We know, that x% equals 71 of the output value, so we can write it down as x%=71.
5. Now we have two simple equations:
1) 100%=78.77
2) x%=71
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%=78.77/71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 71 is what percent of 78.77

100%/x%=78.77/71
(100/x)*x=(78.77/71)*x       - we multiply both sides of the equation by x
100=1.1094366197183*x       - we divide both sides of the equation by (1.1094366197183) to get x
100/1.1094366197183=x
90.135838517202=x
x=90.135838517202

now we have:
71 is 90.135838517202% of 78.77