8.07 is what percent of 22.99 - 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 22.99 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 22.99, so we can write it down as 100%=22.99.
4. We know, that x% equals 8.07 of the output value, so we can write it down as x%=8.07.
5. Now we have two simple equations:
1) 100%=22.99
2) x%=8.07
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%=22.99/8.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.07 is what percent of 22.99

100%/x%=22.99/8.07
(100/x)*x=(22.99/8.07)*x       - we multiply both sides of the equation by x
100=2.8488228004957*x       - we divide both sides of the equation by (2.8488228004957) to get x
100/2.8488228004957=x
35.102218355807=x
x=35.102218355807

now we have:
8.07 is 35.102218355807% of 22.99