1303.18 is what percent of 1803.18 - 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 1803.18 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 1803.18, so we can write it down as 100%=1803.18.
4. We know, that x% equals 1303.18 of the output value, so we can write it down as x%=1303.18.
5. Now we have two simple equations:
1) 100%=1803.18
2) x%=1303.18
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%=1803.18/1303.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1303.18 is what percent of 1803.18

100%/x%=1803.18/1303.18
(100/x)*x=(1803.18/1303.18)*x       - we multiply both sides of the equation by x
100=1.3836768520082*x       - we divide both sides of the equation by (1.3836768520082) to get x
100/1.3836768520082=x
72.271209751661=x
x=72.271209751661

now we have:
1303.18 is 72.271209751661% of 1803.18