4982.82 is what percent of 74.24 - 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 74.24 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 74.24, so we can write it down as 100%=74.24.
4. We know, that x% equals 4982.82 of the output value, so we can write it down as x%=4982.82.
5. Now we have two simple equations:
1) 100%=74.24
2) x%=4982.82
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%=74.24/4982.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4982.82 is what percent of 74.24

100%/x%=74.24/4982.82
(100/x)*x=(74.24/4982.82)*x       - we multiply both sides of the equation by x
100=0.01489919362931*x       - we divide both sides of the equation by (0.01489919362931) to get x
100/0.01489919362931=x
6711.7726293103=x
x=6711.7726293103

now we have:
4982.82 is 6711.7726293103% of 74.24