3.57 is what percent of 105.52 - 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 105.52 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 105.52, so we can write it down as 100%=105.52.
4. We know, that x% equals 3.57 of the output value, so we can write it down as x%=3.57.
5. Now we have two simple equations:
1) 100%=105.52
2) x%=3.57
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%=105.52/3.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.57 is what percent of 105.52

100%/x%=105.52/3.57
(100/x)*x=(105.52/3.57)*x       - we multiply both sides of the equation by x
100=29.557422969188*x       - we divide both sides of the equation by (29.557422969188) to get x
100/29.557422969188=x
3.3832448824867=x
x=3.3832448824867

now we have:
3.57 is 3.3832448824867% of 105.52