362.88 is what percent of 1812.92 - 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 1812.92 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 1812.92, so we can write it down as 100%=1812.92.
4. We know, that x% equals 362.88 of the output value, so we can write it down as x%=362.88.
5. Now we have two simple equations:
1) 100%=1812.92
2) x%=362.88
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%=1812.92/362.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 362.88 is what percent of 1812.92

100%/x%=1812.92/362.88
(100/x)*x=(1812.92/362.88)*x       - we multiply both sides of the equation by x
100=4.9959215167549*x       - we divide both sides of the equation by (4.9959215167549) to get x
100/4.9959215167549=x
20.016327251065=x
x=20.016327251065

now we have:
362.88 is 20.016327251065% of 1812.92