299.5 is what percent of 486 - 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 486 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 486, so we can write it down as 100%=486.
4. We know, that x% equals 299.5 of the output value, so we can write it down as x%=299.5.
5. Now we have two simple equations:
1) 100%=486
2) x%=299.5
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%=486/299.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 299.5 is what percent of 486

100%/x%=486/299.5
(100/x)*x=(486/299.5)*x       - we multiply both sides of the equation by x
100=1.6227045075125*x       - we divide both sides of the equation by (1.6227045075125) to get x
100/1.6227045075125=x
61.625514403292=x
x=61.625514403292

now we have:
299.5 is 61.625514403292% of 486