262.4 is what percent of 302.2 - 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 302.2 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 302.2, so we can write it down as 100%=302.2.
4. We know, that x% equals 262.4 of the output value, so we can write it down as x%=262.4.
5. Now we have two simple equations:
1) 100%=302.2
2) x%=262.4
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%=302.2/262.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 262.4 is what percent of 302.2

100%/x%=302.2/262.4
(100/x)*x=(302.2/262.4)*x       - we multiply both sides of the equation by x
100=1.1516768292683*x       - we divide both sides of the equation by (1.1516768292683) to get x
100/1.1516768292683=x
86.829913964262=x
x=86.829913964262

now we have:
262.4 is 86.829913964262% of 302.2