0.65 is what percent of 700 - 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 700 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 700, so we can write it down as 100%=700.
4. We know, that x% equals 0.65 of the output value, so we can write it down as x%=0.65.
5. Now we have two simple equations:
1) 100%=700
2) x%=0.65
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%=700/0.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.65 is what percent of 700

100%/x%=700/0.65
(100/x)*x=(700/0.65)*x       - we multiply both sides of the equation by x
100=1076.9230769231*x       - we divide both sides of the equation by (1076.9230769231) to get x
100/1076.9230769231=x
0.092857142857143=x
x=0.092857142857143

now we have:
0.65 is 0.092857142857143% of 700