292.96 is what percent of 346.5 - 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 346.5 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 346.5, so we can write it down as 100%=346.5.
4. We know, that x% equals 292.96 of the output value, so we can write it down as x%=292.96.
5. Now we have two simple equations:
1) 100%=346.5
2) x%=292.96
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%=346.5/292.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 292.96 is what percent of 346.5

100%/x%=346.5/292.96
(100/x)*x=(346.5/292.96)*x       - we multiply both sides of the equation by x
100=1.182755324959*x       - we divide both sides of the equation by (1.182755324959) to get x
100/1.182755324959=x
84.548340548341=x
x=84.548340548341

now we have:
292.96 is 84.548340548341% of 346.5