5.29 is what percent of 18.98 - 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 18.98 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 18.98, so we can write it down as 100%=18.98.
4. We know, that x% equals 5.29 of the output value, so we can write it down as x%=5.29.
5. Now we have two simple equations:
1) 100%=18.98
2) x%=5.29
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%=18.98/5.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.29 is what percent of 18.98

100%/x%=18.98/5.29
(100/x)*x=(18.98/5.29)*x       - we multiply both sides of the equation by x
100=3.5879017013233*x       - we divide both sides of the equation by (3.5879017013233) to get x
100/3.5879017013233=x
27.871443624868=x
x=27.871443624868

now we have:
5.29 is 27.871443624868% of 18.98