690.5 is what percent of 791 - 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 791 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 791, so we can write it down as 100%=791.
4. We know, that x% equals 690.5 of the output value, so we can write it down as x%=690.5.
5. Now we have two simple equations:
1) 100%=791
2) x%=690.5
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%=791/690.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 690.5 is what percent of 791

100%/x%=791/690.5
(100/x)*x=(791/690.5)*x       - we multiply both sides of the equation by x
100=1.145546705286*x       - we divide both sides of the equation by (1.145546705286) to get x
100/1.145546705286=x
87.294563843236=x
x=87.294563843236

now we have:
690.5 is 87.294563843236% of 791