645.55 is what percent of 835 - 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 835 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 835, so we can write it down as 100%=835.
4. We know, that x% equals 645.55 of the output value, so we can write it down as x%=645.55.
5. Now we have two simple equations:
1) 100%=835
2) x%=645.55
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%=835/645.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 645.55 is what percent of 835

100%/x%=835/645.55
(100/x)*x=(835/645.55)*x       - we multiply both sides of the equation by x
100=1.2934706839129*x       - we divide both sides of the equation by (1.2934706839129) to get x
100/1.2934706839129=x
77.311377245509=x
x=77.311377245509

now we have:
645.55 is 77.311377245509% of 835