92.98 is what percent of 464.92 - 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 464.92 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 464.92, so we can write it down as 100%=464.92.
4. We know, that x% equals 92.98 of the output value, so we can write it down as x%=92.98.
5. Now we have two simple equations:
1) 100%=464.92
2) x%=92.98
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%=464.92/92.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 92.98 is what percent of 464.92

100%/x%=464.92/92.98
(100/x)*x=(464.92/92.98)*x       - we multiply both sides of the equation by x
100=5.0002151000215*x       - we divide both sides of the equation by (5.0002151000215) to get x
100/5.0002151000215=x
19.999139636927=x
x=19.999139636927

now we have:
92.98 is 19.999139636927% of 464.92