77.62 is what percent of 645 - 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 645 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 645, so we can write it down as 100%=645.
4. We know, that x% equals 77.62 of the output value, so we can write it down as x%=77.62.
5. Now we have two simple equations:
1) 100%=645
2) x%=77.62
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%=645/77.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.62 is what percent of 645

100%/x%=645/77.62
(100/x)*x=(645/77.62)*x       - we multiply both sides of the equation by x
100=8.3097139912394*x       - we divide both sides of the equation by (8.3097139912394) to get x
100/8.3097139912394=x
12.034108527132=x
x=12.034108527132

now we have:
77.62 is 12.034108527132% of 645