1.86 is what percent of 4.09 - 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 4.09 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 4.09, so we can write it down as 100%=4.09.
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%=4.09
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%=4.09/1.86
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 4.09

100%/x%=4.09/1.86
(100/x)*x=(4.09/1.86)*x       - we multiply both sides of the equation by x
100=2.1989247311828*x       - we divide both sides of the equation by (2.1989247311828) to get x
100/2.1989247311828=x
45.476772616137=x
x=45.476772616137

now we have:
1.86 is 45.476772616137% of 4.09