491.43 is what percent of 500 - 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 500 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 500, so we can write it down as 100%=500.
4. We know, that x% equals 491.43 of the output value, so we can write it down as x%=491.43.
5. Now we have two simple equations:
1) 100%=500
2) x%=491.43
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%=500/491.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 491.43 is what percent of 500

100%/x%=500/491.43
(100/x)*x=(500/491.43)*x       - we multiply both sides of the equation by x
100=1.0174389027939*x       - we divide both sides of the equation by (1.0174389027939) to get x
100/1.0174389027939=x
98.286=x
x=98.286

now we have:
491.43 is 98.286% of 500