6.99 is what percent of 38.99 - 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 38.99 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 38.99, so we can write it down as 100%=38.99.
4. We know, that x% equals 6.99 of the output value, so we can write it down as x%=6.99.
5. Now we have two simple equations:
1) 100%=38.99
2) x%=6.99
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%=38.99/6.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.99 is what percent of 38.99

100%/x%=38.99/6.99
(100/x)*x=(38.99/6.99)*x       - we multiply both sides of the equation by x
100=5.5779685264664*x       - we divide both sides of the equation by (5.5779685264664) to get x
100/5.5779685264664=x
17.927673762503=x
x=17.927673762503

now we have:
6.99 is 17.927673762503% of 38.99