764.99 is what percent of 1330 - 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 1330 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 1330, so we can write it down as 100%=1330.
4. We know, that x% equals 764.99 of the output value, so we can write it down as x%=764.99.
5. Now we have two simple equations:
1) 100%=1330
2) x%=764.99
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%=1330/764.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 764.99 is what percent of 1330

100%/x%=1330/764.99
(100/x)*x=(1330/764.99)*x       - we multiply both sides of the equation by x
100=1.7385848181022*x       - we divide both sides of the equation by (1.7385848181022) to get x
100/1.7385848181022=x
57.518045112782=x
x=57.518045112782

now we have:
764.99 is 57.518045112782% of 1330