1302.71 is what percent of 18302.71 - 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 18302.71 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 18302.71, so we can write it down as 100%=18302.71.
4. We know, that x% equals 1302.71 of the output value, so we can write it down as x%=1302.71.
5. Now we have two simple equations:
1) 100%=18302.71
2) x%=1302.71
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%=18302.71/1302.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1302.71 is what percent of 18302.71

100%/x%=18302.71/1302.71
(100/x)*x=(18302.71/1302.71)*x       - we multiply both sides of the equation by x
100=14.049719431032*x       - we divide both sides of the equation by (14.049719431032) to get x
100/14.049719431032=x
7.1175798556607=x
x=7.1175798556607

now we have:
1302.71 is 7.1175798556607% of 18302.71