252.05 is what percent of 804.6 - 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 804.6 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 804.6, so we can write it down as 100%=804.6.
4. We know, that x% equals 252.05 of the output value, so we can write it down as x%=252.05.
5. Now we have two simple equations:
1) 100%=804.6
2) x%=252.05
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%=804.6/252.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 252.05 is what percent of 804.6

100%/x%=804.6/252.05
(100/x)*x=(804.6/252.05)*x       - we multiply both sides of the equation by x
100=3.192223765126*x       - we divide both sides of the equation by (3.192223765126) to get x
100/3.192223765126=x
31.326124782501=x
x=31.326124782501

now we have:
252.05 is 31.326124782501% of 804.6