2.86 is what percent of 3.63 - 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 3.63 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 3.63, so we can write it down as 100%=3.63.
4. We know, that x% equals 2.86 of the output value, so we can write it down as x%=2.86.
5. Now we have two simple equations:
1) 100%=3.63
2) x%=2.86
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%=3.63/2.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.86 is what percent of 3.63

100%/x%=3.63/2.86
(100/x)*x=(3.63/2.86)*x       - we multiply both sides of the equation by x
100=1.2692307692308*x       - we divide both sides of the equation by (1.2692307692308) to get x
100/1.2692307692308=x
78.787878787879=x
x=78.787878787879

now we have:
2.86 is 78.787878787879% of 3.63