309.02 is what percent of 840 - 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 840 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 840, so we can write it down as 100%=840.
4. We know, that x% equals 309.02 of the output value, so we can write it down as x%=309.02.
5. Now we have two simple equations:
1) 100%=840
2) x%=309.02
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%=840/309.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 309.02 is what percent of 840

100%/x%=840/309.02
(100/x)*x=(840/309.02)*x       - we multiply both sides of the equation by x
100=2.7182706620931*x       - we divide both sides of the equation by (2.7182706620931) to get x
100/2.7182706620931=x
36.788095238095=x
x=36.788095238095

now we have:
309.02 is 36.788095238095% of 840