767.5 is what percent of 7.02 - 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 7.02 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 7.02, so we can write it down as 100%=7.02.
4. We know, that x% equals 767.5 of the output value, so we can write it down as x%=767.5.
5. Now we have two simple equations:
1) 100%=7.02
2) x%=767.5
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%=7.02/767.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 767.5 is what percent of 7.02

100%/x%=7.02/767.5
(100/x)*x=(7.02/767.5)*x       - we multiply both sides of the equation by x
100=0.0091465798045603*x       - we divide both sides of the equation by (0.0091465798045603) to get x
100/0.0091465798045603=x
10933.048433048=x
x=10933.048433048

now we have:
767.5 is 10933.048433048% of 7.02