6.7 is what percent of 462 - 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 462 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 462, so we can write it down as 100%=462.
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%=462
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%=462/6.7
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 462

100%/x%=462/6.7
(100/x)*x=(462/6.7)*x       - we multiply both sides of the equation by x
100=68.955223880597*x       - we divide both sides of the equation by (68.955223880597) to get x
100/68.955223880597=x
1.4502164502165=x
x=1.4502164502165

now we have:
6.7 is 1.4502164502165% of 462