284.68 is what percent of 1321.14 - 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 1321.14 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 1321.14, so we can write it down as 100%=1321.14.
4. We know, that x% equals 284.68 of the output value, so we can write it down as x%=284.68.
5. Now we have two simple equations:
1) 100%=1321.14
2) x%=284.68
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%=1321.14/284.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 284.68 is what percent of 1321.14

100%/x%=1321.14/284.68
(100/x)*x=(1321.14/284.68)*x       - we multiply both sides of the equation by x
100=4.640789658564*x       - we divide both sides of the equation by (4.640789658564) to get x
100/4.640789658564=x
21.548056981092=x
x=21.548056981092

now we have:
284.68 is 21.548056981092% of 1321.14