9.93 is what percent of 685 - 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 685 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 685, so we can write it down as 100%=685.
4. We know, that x% equals 9.93 of the output value, so we can write it down as x%=9.93.
5. Now we have two simple equations:
1) 100%=685
2) x%=9.93
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%=685/9.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.93 is what percent of 685

100%/x%=685/9.93
(100/x)*x=(685/9.93)*x       - we multiply both sides of the equation by x
100=68.982880161128*x       - we divide both sides of the equation by (68.982880161128) to get x
100/68.982880161128=x
1.4496350364964=x
x=1.4496350364964

now we have:
9.93 is 1.4496350364964% of 685