86 is what percent of 4299 - 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 4299 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 4299, so we can write it down as 100%=4299.
4. We know, that x% equals 86 of the output value, so we can write it down as x%=86.
5. Now we have two simple equations:
1) 100%=4299
2) x%=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%=4299/86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 86 is what percent of 4299

100%/x%=4299/86
(100/x)*x=(4299/86)*x       - we multiply both sides of the equation by x
100=49.988372093023*x       - we divide both sides of the equation by (49.988372093023) to get x
100/49.988372093023=x
2.0004652244708=x
x=2.0004652244708

now we have:
86 is 2.0004652244708% of 4299