0.67 is what percent of 36.78 - 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 36.78 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 36.78, so we can write it down as 100%=36.78.
4. We know, that x% equals 0.67 of the output value, so we can write it down as x%=0.67.
5. Now we have two simple equations:
1) 100%=36.78
2) x%=0.67
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%=36.78/0.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.67 is what percent of 36.78

100%/x%=36.78/0.67
(100/x)*x=(36.78/0.67)*x       - we multiply both sides of the equation by x
100=54.89552238806*x       - we divide both sides of the equation by (54.89552238806) to get x
100/54.89552238806=x
1.8216421968461=x
x=1.8216421968461

now we have:
0.67 is 1.8216421968461% of 36.78