245.1 is what percent of 300 - 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 300 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 300, so we can write it down as 100%=300.
4. We know, that x% equals 245.1 of the output value, so we can write it down as x%=245.1.
5. Now we have two simple equations:
1) 100%=300
2) x%=245.1
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%=300/245.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 245.1 is what percent of 300

100%/x%=300/245.1
(100/x)*x=(300/245.1)*x       - we multiply both sides of the equation by x
100=1.2239902080783*x       - we divide both sides of the equation by (1.2239902080783) to get x
100/1.2239902080783=x
81.7=x
x=81.7

now we have:
245.1 is 81.7% of 300