84.7 is what percent of 770 - 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 770 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 770, so we can write it down as 100%=770.
4. We know, that x% equals 84.7 of the output value, so we can write it down as x%=84.7.
5. Now we have two simple equations:
1) 100%=770
2) x%=84.7
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%=770/84.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84.7 is what percent of 770

100%/x%=770/84.7
(100/x)*x=(770/84.7)*x       - we multiply both sides of the equation by x
100=9.09090909091*x       - we divide both sides of the equation by (9.09090909091) to get x
100/9.09090909091=x
11=x
x=11

now we have:
84.7 is 11% of 770