512497.15 is what percent of 309300.88 - 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 309300.88 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 309300.88, so we can write it down as 100%=309300.88.
4. We know, that x% equals 512497.15 of the output value, so we can write it down as x%=512497.15.
5. Now we have two simple equations:
1) 100%=309300.88
2) x%=512497.15
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%=309300.88/512497.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 512497.15 is what percent of 309300.88

100%/x%=309300.88/512497.15
(100/x)*x=(309300.88/512497.15)*x       - we multiply both sides of the equation by x
100=0.60351726833993*x       - we divide both sides of the equation by (0.60351726833993) to get x
100/0.60351726833993=x
165.69534170094=x
x=165.69534170094

now we have:
512497.15 is 165.69534170094% of 309300.88