203.7 is what percent of 1218.75 - 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 1218.75 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 1218.75, so we can write it down as 100%=1218.75.
4. We know, that x% equals 203.7 of the output value, so we can write it down as x%=203.7.
5. Now we have two simple equations:
1) 100%=1218.75
2) x%=203.7
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%=1218.75/203.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 203.7 is what percent of 1218.75

100%/x%=1218.75/203.7
(100/x)*x=(1218.75/203.7)*x       - we multiply both sides of the equation by x
100=5.9830633284242*x       - we divide both sides of the equation by (5.9830633284242) to get x
100/5.9830633284242=x
16.713846153846=x
x=16.713846153846

now we have:
203.7 is 16.713846153846% of 1218.75