792.58 is what percent of 834.99 - 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 834.99 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 834.99, so we can write it down as 100%=834.99.
4. We know, that x% equals 792.58 of the output value, so we can write it down as x%=792.58.
5. Now we have two simple equations:
1) 100%=834.99
2) x%=792.58
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%=834.99/792.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 792.58 is what percent of 834.99

100%/x%=834.99/792.58
(100/x)*x=(834.99/792.58)*x       - we multiply both sides of the equation by x
100=1.053508794065*x       - we divide both sides of the equation by (1.053508794065) to get x
100/1.053508794065=x
94.920897256255=x
x=94.920897256255

now we have:
792.58 is 94.920897256255% of 834.99