37.84 is what percent of 68.14 - 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 68.14 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 68.14, so we can write it down as 100%=68.14.
4. We know, that x% equals 37.84 of the output value, so we can write it down as x%=37.84.
5. Now we have two simple equations:
1) 100%=68.14
2) x%=37.84
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%=68.14/37.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.84 is what percent of 68.14

100%/x%=68.14/37.84
(100/x)*x=(68.14/37.84)*x       - we multiply both sides of the equation by x
100=1.8007399577167*x       - we divide both sides of the equation by (1.8007399577167) to get x
100/1.8007399577167=x
55.532726739067=x
x=55.532726739067

now we have:
37.84 is 55.532726739067% of 68.14