1218.3 is what percent of 1462 - 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 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, so we can write it down as 100%=1462.
4. We know, that x% equals 1218.3 of the output value, so we can write it down as x%=1218.3.
5. Now we have two simple equations:
1) 100%=1462
2) x%=1218.3
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%=1462/1218.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1218.3 is what percent of 1462

100%/x%=1462/1218.3
(100/x)*x=(1462/1218.3)*x       - we multiply both sides of the equation by x
100=1.2000328326356*x       - we divide both sides of the equation by (1.2000328326356) to get x
100/1.2000328326356=x
83.331053351573=x
x=83.331053351573

now we have:
1218.3 is 83.331053351573% of 1462