8.34 is what percent of 491.8 - 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 491.8 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 491.8, so we can write it down as 100%=491.8.
4. We know, that x% equals 8.34 of the output value, so we can write it down as x%=8.34.
5. Now we have two simple equations:
1) 100%=491.8
2) x%=8.34
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:
100%/x%=491.8/8.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.34 is what percent of 491.8

100%/x%=491.8/8.34
(100/x)*x=(491.8/8.34)*x       - we multiply both sides of the equation by x
100=58.968824940048*x       - we divide both sides of the equation by (58.968824940048) to get x
100/58.968824940048=x
1.6958113054087=x
x=1.6958113054087

now we have:
8.34 is 1.6958113054087% of 491.8