67 is what percent of 67.8 - 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 67.8 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 67.8, so we can write it down as 100%=67.8.
4. We know, that x% equals 67 of the output value, so we can write it down as x%=67.
5. Now we have two simple equations:
1) 100%=67.8
2) x%=67
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%=67.8/67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67 is what percent of 67.8

100%/x%=67.8/67
(100/x)*x=(67.8/67)*x       - we multiply both sides of the equation by x
100=1.0119402985075*x       - we divide both sides of the equation by (1.0119402985075) to get x
100/1.0119402985075=x
98.82005899705=x
x=98.82005899705

now we have:
67 is 98.82005899705% of 67.8