509.29 is what percent of 847.05 - 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 847.05 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 847.05, so we can write it down as 100%=847.05.
4. We know, that x% equals 509.29 of the output value, so we can write it down as x%=509.29.
5. Now we have two simple equations:
1) 100%=847.05
2) x%=509.29
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%=847.05/509.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 509.29 is what percent of 847.05

100%/x%=847.05/509.29
(100/x)*x=(847.05/509.29)*x       - we multiply both sides of the equation by x
100=1.6631977851519*x       - we divide both sides of the equation by (1.6631977851519) to get x
100/1.6631977851519=x
60.125140192433=x
x=60.125140192433

now we have:
509.29 is 60.125140192433% of 847.05