18.58 is what percent of 30.98 - 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 30.98 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 30.98, so we can write it down as 100%=30.98.
4. We know, that x% equals 18.58 of the output value, so we can write it down as x%=18.58.
5. Now we have two simple equations:
1) 100%=30.98
2) x%=18.58
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%=30.98/18.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.58 is what percent of 30.98

100%/x%=30.98/18.58
(100/x)*x=(30.98/18.58)*x       - we multiply both sides of the equation by x
100=1.6673842841765*x       - we divide both sides of the equation by (1.6673842841765) to get x
100/1.6673842841765=x
59.974176888315=x
x=59.974176888315

now we have:
18.58 is 59.974176888315% of 30.98