298.05 is what percent of 1462.15 - 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 1462.15 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 1462.15, so we can write it down as 100%=1462.15.
4. We know, that x% equals 298.05 of the output value, so we can write it down as x%=298.05.
5. Now we have two simple equations:
1) 100%=1462.15
2) x%=298.05
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%=1462.15/298.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 298.05 is what percent of 1462.15

100%/x%=1462.15/298.05
(100/x)*x=(1462.15/298.05)*x       - we multiply both sides of the equation by x
100=4.9057205166918*x       - we divide both sides of the equation by (4.9057205166918) to get x
100/4.9057205166918=x
20.384365489177=x
x=20.384365489177

now we have:
298.05 is 20.384365489177% of 1462.15