67 is what percent of 67.748 - 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 67.748 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 67.748, so we can write it down as 100%=67.748.
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%=67.748
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%=67.748/67
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 67.748

100%/x%=67.748/67
(100/x)*x=(67.748/67)*x       - we multiply both sides of the equation by x
100=1.0111641791045*x       - we divide both sides of the equation by (1.0111641791045) to get x
100/1.0111641791045=x
98.895908366299=x
x=98.895908366299

now we have:
67 is 98.895908366299% of 67.748