18.4 is what percent of 75.98 - 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 75.98 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 75.98, so we can write it down as 100%=75.98.
4. We know, that x% equals 18.4 of the output value, so we can write it down as x%=18.4.
5. Now we have two simple equations:
1) 100%=75.98
2) x%=18.4
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%=75.98/18.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.4 is what percent of 75.98

100%/x%=75.98/18.4
(100/x)*x=(75.98/18.4)*x       - we multiply both sides of the equation by x
100=4.129347826087*x       - we divide both sides of the equation by (4.129347826087) to get x
100/4.129347826087=x
24.216899183996=x
x=24.216899183996

now we have:
18.4 is 24.216899183996% of 75.98