82.5 is what percent of 434 - 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 434 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 434, so we can write it down as 100%=434.
4. We know, that x% equals 82.5 of the output value, so we can write it down as x%=82.5.
5. Now we have two simple equations:
1) 100%=434
2) x%=82.5
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%=434/82.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82.5 is what percent of 434

100%/x%=434/82.5
(100/x)*x=(434/82.5)*x       - we multiply both sides of the equation by x
100=5.2606060606061*x       - we divide both sides of the equation by (5.2606060606061) to get x
100/5.2606060606061=x
19.009216589862=x
x=19.009216589862

now we have:
82.5 is 19.009216589862% of 434