767.67 is what percent of 1013 - 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 1013 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 1013, so we can write it down as 100%=1013.
4. We know, that x% equals 767.67 of the output value, so we can write it down as x%=767.67.
5. Now we have two simple equations:
1) 100%=1013
2) x%=767.67
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%=1013/767.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 767.67 is what percent of 1013

100%/x%=1013/767.67
(100/x)*x=(1013/767.67)*x       - we multiply both sides of the equation by x
100=1.3195774225904*x       - we divide both sides of the equation by (1.3195774225904) to get x
100/1.3195774225904=x
75.781836130306=x
x=75.781836130306

now we have:
767.67 is 75.781836130306% of 1013