1.86 is what percent of 4.49 - 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 4.49 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 4.49, so we can write it down as 100%=4.49.
4. We know, that x% equals 1.86 of the output value, so we can write it down as x%=1.86.
5. Now we have two simple equations:
1) 100%=4.49
2) x%=1.86
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%=4.49/1.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.86 is what percent of 4.49

100%/x%=4.49/1.86
(100/x)*x=(4.49/1.86)*x       - we multiply both sides of the equation by x
100=2.4139784946237*x       - we divide both sides of the equation by (2.4139784946237) to get x
100/2.4139784946237=x
41.425389755011=x
x=41.425389755011

now we have:
1.86 is 41.425389755011% of 4.49