67.05 is what percent of 467.05 - 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 467.05 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 467.05, so we can write it down as 100%=467.05.
4. We know, that x% equals 67.05 of the output value, so we can write it down as x%=67.05.
5. Now we have two simple equations:
1) 100%=467.05
2) x%=67.05
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%=467.05/67.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.05 is what percent of 467.05

100%/x%=467.05/67.05
(100/x)*x=(467.05/67.05)*x       - we multiply both sides of the equation by x
100=6.965697240865*x       - we divide both sides of the equation by (6.965697240865) to get x
100/6.965697240865=x
14.356064661171=x
x=14.356064661171

now we have:
67.05 is 14.356064661171% of 467.05