247.1 is what percent of 284.82 - 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 284.82 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 284.82, so we can write it down as 100%=284.82.
4. We know, that x% equals 247.1 of the output value, so we can write it down as x%=247.1.
5. Now we have two simple equations:
1) 100%=284.82
2) x%=247.1
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%=284.82/247.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 247.1 is what percent of 284.82

100%/x%=284.82/247.1
(100/x)*x=(284.82/247.1)*x       - we multiply both sides of the equation by x
100=1.1526507486847*x       - we divide both sides of the equation by (1.1526507486847) to get x
100/1.1526507486847=x
86.756547995225=x
x=86.756547995225

now we have:
247.1 is 86.756547995225% of 284.82