965.25 is what percent of 1378.93 - 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 1378.93 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 1378.93, so we can write it down as 100%=1378.93.
4. We know, that x% equals 965.25 of the output value, so we can write it down as x%=965.25.
5. Now we have two simple equations:
1) 100%=1378.93
2) x%=965.25
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%=1378.93/965.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 965.25 is what percent of 1378.93

100%/x%=1378.93/965.25
(100/x)*x=(1378.93/965.25)*x       - we multiply both sides of the equation by x
100=1.4285729085729*x       - we divide both sides of the equation by (1.4285729085729) to get x
100/1.4285729085729=x
69.999927480003=x
x=69.999927480003

now we have:
965.25 is 69.999927480003% of 1378.93