809.4 is what percent of 1210 - 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 1210 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 1210, so we can write it down as 100%=1210.
4. We know, that x% equals 809.4 of the output value, so we can write it down as x%=809.4.
5. Now we have two simple equations:
1) 100%=1210
2) x%=809.4
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%=1210/809.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 809.4 is what percent of 1210

100%/x%=1210/809.4
(100/x)*x=(1210/809.4)*x       - we multiply both sides of the equation by x
100=1.4949345193971*x       - we divide both sides of the equation by (1.4949345193971) to get x
100/1.4949345193971=x
66.892561983471=x
x=66.892561983471

now we have:
809.4 is 66.892561983471% of 1210