506.7 is what percent of 709.9 - 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 709.9 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 709.9, so we can write it down as 100%=709.9.
4. We know, that x% equals 506.7 of the output value, so we can write it down as x%=506.7.
5. Now we have two simple equations:
1) 100%=709.9
2) x%=506.7
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%=709.9/506.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 506.7 is what percent of 709.9

100%/x%=709.9/506.7
(100/x)*x=(709.9/506.7)*x       - we multiply both sides of the equation by x
100=1.4010262482731*x       - we divide both sides of the equation by (1.4010262482731) to get x
100/1.4010262482731=x
71.376250176081=x
x=71.376250176081

now we have:
506.7 is 71.376250176081% of 709.9