1.89 is what percent of 4.46 - 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 4.46 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 4.46, so we can write it down as 100%=4.46.
4. We know, that x% equals 1.89 of the output value, so we can write it down as x%=1.89.
5. Now we have two simple equations:
1) 100%=4.46
2) x%=1.89
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%=4.46/1.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.89 is what percent of 4.46

100%/x%=4.46/1.89
(100/x)*x=(4.46/1.89)*x       - we multiply both sides of the equation by x
100=2.3597883597884*x       - we divide both sides of the equation by (2.3597883597884) to get x
100/2.3597883597884=x
42.37668161435=x
x=42.37668161435

now we have:
1.89 is 42.37668161435% of 4.46