67.7 is what percent of 119.2 - 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 119.2 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 119.2, so we can write it down as 100%=119.2.
4. We know, that x% equals 67.7 of the output value, so we can write it down as x%=67.7.
5. Now we have two simple equations:
1) 100%=119.2
2) x%=67.7
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%=119.2/67.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.7 is what percent of 119.2

100%/x%=119.2/67.7
(100/x)*x=(119.2/67.7)*x       - we multiply both sides of the equation by x
100=1.7607090103397*x       - we divide both sides of the equation by (1.7607090103397) to get x
100/1.7607090103397=x
56.795302013423=x
x=56.795302013423

now we have:
67.7 is 56.795302013423% of 119.2