2.36 is what percent of 2086 - 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 2086 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 2086, so we can write it down as 100%=2086.
4. We know, that x% equals 2.36 of the output value, so we can write it down as x%=2.36.
5. Now we have two simple equations:
1) 100%=2086
2) x%=2.36
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%=2086/2.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.36 is what percent of 2086

100%/x%=2086/2.36
(100/x)*x=(2086/2.36)*x       - we multiply both sides of the equation by x
100=883.89830508475*x       - we divide both sides of the equation by (883.89830508475) to get x
100/883.89830508475=x
0.11313518696069=x
x=0.11313518696069

now we have:
2.36 is 0.11313518696069% of 2086