3.56 is what percent of 37.94 - 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 37.94 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 37.94, so we can write it down as 100%=37.94.
4. We know, that x% equals 3.56 of the output value, so we can write it down as x%=3.56.
5. Now we have two simple equations:
1) 100%=37.94
2) x%=3.56
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%=37.94/3.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.56 is what percent of 37.94

100%/x%=37.94/3.56
(100/x)*x=(37.94/3.56)*x       - we multiply both sides of the equation by x
100=10.657303370787*x       - we divide both sides of the equation by (10.657303370787) to get x
100/10.657303370787=x
9.3832366895098=x
x=9.3832366895098

now we have:
3.56 is 9.3832366895098% of 37.94