83.16 is what percent of 1488.84 - 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 1488.84 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 1488.84, so we can write it down as 100%=1488.84.
4. We know, that x% equals 83.16 of the output value, so we can write it down as x%=83.16.
5. Now we have two simple equations:
1) 100%=1488.84
2) x%=83.16
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%=1488.84/83.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83.16 is what percent of 1488.84

100%/x%=1488.84/83.16
(100/x)*x=(1488.84/83.16)*x       - we multiply both sides of the equation by x
100=17.903318903319*x       - we divide both sides of the equation by (17.903318903319) to get x
100/17.903318903319=x
5.5855565406625=x
x=5.5855565406625

now we have:
83.16 is 5.5855565406625% of 1488.84