284.12 is what percent of 364 - 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 364 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 364, so we can write it down as 100%=364.
4. We know, that x% equals 284.12 of the output value, so we can write it down as x%=284.12.
5. Now we have two simple equations:
1) 100%=364
2) x%=284.12
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%=364/284.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 284.12 is what percent of 364

100%/x%=364/284.12
(100/x)*x=(364/284.12)*x       - we multiply both sides of the equation by x
100=1.2811488103618*x       - we divide both sides of the equation by (1.2811488103618) to get x
100/1.2811488103618=x
78.054945054945=x
x=78.054945054945

now we have:
284.12 is 78.054945054945% of 364