62.69 is what percent of 465.6 - 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 465.6 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 465.6, so we can write it down as 100%=465.6.
4. We know, that x% equals 62.69 of the output value, so we can write it down as x%=62.69.
5. Now we have two simple equations:
1) 100%=465.6
2) x%=62.69
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%=465.6/62.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 62.69 is what percent of 465.6

100%/x%=465.6/62.69
(100/x)*x=(465.6/62.69)*x       - we multiply both sides of the equation by x
100=7.4270218535652*x       - we divide both sides of the equation by (7.4270218535652) to get x
100/7.4270218535652=x
13.464347079038=x
x=13.464347079038

now we have:
62.69 is 13.464347079038% of 465.6