1.02 is what percent of 5.99 - 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 5.99 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 5.99, so we can write it down as 100%=5.99.
4. We know, that x% equals 1.02 of the output value, so we can write it down as x%=1.02.
5. Now we have two simple equations:
1) 100%=5.99
2) x%=1.02
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%=5.99/1.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.02 is what percent of 5.99

100%/x%=5.99/1.02
(100/x)*x=(5.99/1.02)*x       - we multiply both sides of the equation by x
100=5.8725490196078*x       - we divide both sides of the equation by (5.8725490196078) to get x
100/5.8725490196078=x
17.028380634391=x
x=17.028380634391

now we have:
1.02 is 17.028380634391% of 5.99