84.75 is what percent of 492.75 - 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 492.75 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 492.75, so we can write it down as 100%=492.75.
4. We know, that x% equals 84.75 of the output value, so we can write it down as x%=84.75.
5. Now we have two simple equations:
1) 100%=492.75
2) x%=84.75
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%=492.75/84.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84.75 is what percent of 492.75

100%/x%=492.75/84.75
(100/x)*x=(492.75/84.75)*x       - we multiply both sides of the equation by x
100=5.8141592920354*x       - we divide both sides of the equation by (5.8141592920354) to get x
100/5.8141592920354=x
17.199391171994=x
x=17.199391171994

now we have:
84.75 is 17.199391171994% of 492.75