943.99 is what percent of 1305 - 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 1305 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 1305, so we can write it down as 100%=1305.
4. We know, that x% equals 943.99 of the output value, so we can write it down as x%=943.99.
5. Now we have two simple equations:
1) 100%=1305
2) x%=943.99
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%=1305/943.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 943.99 is what percent of 1305

100%/x%=1305/943.99
(100/x)*x=(1305/943.99)*x       - we multiply both sides of the equation by x
100=1.3824298986218*x       - we divide both sides of the equation by (1.3824298986218) to get x
100/1.3824298986218=x
72.336398467433=x
x=72.336398467433

now we have:
943.99 is 72.336398467433% of 1305