2.83 is what percent of 34.99 - 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 34.99 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 34.99, so we can write it down as 100%=34.99.
4. We know, that x% equals 2.83 of the output value, so we can write it down as x%=2.83.
5. Now we have two simple equations:
1) 100%=34.99
2) x%=2.83
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%=34.99/2.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.83 is what percent of 34.99

100%/x%=34.99/2.83
(100/x)*x=(34.99/2.83)*x       - we multiply both sides of the equation by x
100=12.363957597173*x       - we divide both sides of the equation by (12.363957597173) to get x
100/12.363957597173=x
8.0880251500429=x
x=8.0880251500429

now we have:
2.83 is 8.0880251500429% of 34.99