What is 11.34 percent of 498 - 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 498 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 498 is 100%, so we can write it down as 498=100%.
4. We know, that x is 11.34% of the output value, so we can write it down as x=11.34%.
5. Now we have two simple equations:
1) 498=100%
2) x=11.34%
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:
498/x=100%/11.34%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 11.34% of 498

498/x=100/11.34
(498/x)*x=(100/11.34)*x       - we multiply both sides of the equation by x
498=8.8183421516755*x       - we divide both sides of the equation by (8.8183421516755) to get x
498/8.8183421516755=x
56.4732=x
x=56.4732

now we have:
11.34% of 498=56.4732