570.7 is what percent of 735 - 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 735 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 735, so we can write it down as 100%=735.
4. We know, that x% equals 570.7 of the output value, so we can write it down as x%=570.7.
5. Now we have two simple equations:
1) 100%=735
2) x%=570.7
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%=735/570.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 570.7 is what percent of 735

100%/x%=735/570.7
(100/x)*x=(735/570.7)*x       - we multiply both sides of the equation by x
100=1.2878920623795*x       - we divide both sides of the equation by (1.2878920623795) to get x
100/1.2878920623795=x
77.646258503401=x
x=77.646258503401

now we have:
570.7 is 77.646258503401% of 735