6.7 is what percent of 823.685 - 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 823.685 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 823.685, so we can write it down as 100%=823.685.
4. We know, that x% equals 6.7 of the output value, so we can write it down as x%=6.7.
5. Now we have two simple equations:
1) 100%=823.685
2) x%=6.7
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%=823.685/6.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.7 is what percent of 823.685

100%/x%=823.685/6.7
(100/x)*x=(823.685/6.7)*x       - we multiply both sides of the equation by x
100=122.93805970149*x       - we divide both sides of the equation by (122.93805970149) to get x
100/122.93805970149=x
0.81341775071781=x
x=0.81341775071781

now we have:
6.7 is 0.81341775071781% of 823.685