282.67 is what percent of 2045 - 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 2045 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 2045, so we can write it down as 100%=2045.
4. We know, that x% equals 282.67 of the output value, so we can write it down as x%=282.67.
5. Now we have two simple equations:
1) 100%=2045
2) x%=282.67
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%=2045/282.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 282.67 is what percent of 2045

100%/x%=2045/282.67
(100/x)*x=(2045/282.67)*x       - we multiply both sides of the equation by x
100=7.2345844978243*x       - we divide both sides of the equation by (7.2345844978243) to get x
100/7.2345844978243=x
13.822493887531=x
x=13.822493887531

now we have:
282.67 is 13.822493887531% of 2045