385.36 is what percent of 577.67 - 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 577.67 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 577.67, so we can write it down as 100%=577.67.
4. We know, that x% equals 385.36 of the output value, so we can write it down as x%=385.36.
5. Now we have two simple equations:
1) 100%=577.67
2) x%=385.36
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%=577.67/385.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 385.36 is what percent of 577.67

100%/x%=577.67/385.36
(100/x)*x=(577.67/385.36)*x       - we multiply both sides of the equation by x
100=1.4990398588333*x       - we divide both sides of the equation by (1.4990398588333) to get x
100/1.4990398588333=x
66.709366939602=x
x=66.709366939602

now we have:
385.36 is 66.709366939602% of 577.67