3.7 is what percent of 4.42 - 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 4.42 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 4.42, so we can write it down as 100%=4.42.
4. We know, that x% equals 3.7 of the output value, so we can write it down as x%=3.7.
5. Now we have two simple equations:
1) 100%=4.42
2) x%=3.7
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%=4.42/3.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.7 is what percent of 4.42

100%/x%=4.42/3.7
(100/x)*x=(4.42/3.7)*x       - we multiply both sides of the equation by x
100=1.1945945945946*x       - we divide both sides of the equation by (1.1945945945946) to get x
100/1.1945945945946=x
83.710407239819=x
x=83.710407239819

now we have:
3.7 is 83.710407239819% of 4.42