4211.5 is what percent of 309.46 - 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 309.46 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 309.46, so we can write it down as 100%=309.46.
4. We know, that x% equals 4211.5 of the output value, so we can write it down as x%=4211.5.
5. Now we have two simple equations:
1) 100%=309.46
2) x%=4211.5
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%=309.46/4211.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4211.5 is what percent of 309.46

100%/x%=309.46/4211.5
(100/x)*x=(309.46/4211.5)*x       - we multiply both sides of the equation by x
100=0.073479757806007*x       - we divide both sides of the equation by (0.073479757806007) to get x
100/0.073479757806007=x
1360.9190202288=x
x=1360.9190202288

now we have:
4211.5 is 1360.9190202288% of 309.46