6.7 is what percent of 69.4 - 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 69.4 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 69.4, so we can write it down as 100%=69.4.
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%=69.4
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%=69.4/6.7
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 69.4

100%/x%=69.4/6.7
(100/x)*x=(69.4/6.7)*x       - we multiply both sides of the equation by x
100=10.358208955224*x       - we divide both sides of the equation by (10.358208955224) to get x
100/10.358208955224=x
9.6541786743516=x
x=9.6541786743516

now we have:
6.7 is 9.6541786743516% of 69.4