292.25 is what percent of 321 - 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 321 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 321, so we can write it down as 100%=321.
4. We know, that x% equals 292.25 of the output value, so we can write it down as x%=292.25.
5. Now we have two simple equations:
1) 100%=321
2) x%=292.25
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%=321/292.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 292.25 is what percent of 321

100%/x%=321/292.25
(100/x)*x=(321/292.25)*x       - we multiply both sides of the equation by x
100=1.098374679213*x       - we divide both sides of the equation by (1.098374679213) to get x
100/1.098374679213=x
91.043613707165=x
x=91.043613707165

now we have:
292.25 is 91.043613707165% of 321