949.44 is what percent of 1500 - 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 1500 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 1500, so we can write it down as 100%=1500.
4. We know, that x% equals 949.44 of the output value, so we can write it down as x%=949.44.
5. Now we have two simple equations:
1) 100%=1500
2) x%=949.44
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%=1500/949.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 949.44 is what percent of 1500

100%/x%=1500/949.44
(100/x)*x=(1500/949.44)*x       - we multiply both sides of the equation by x
100=1.5798786653185*x       - we divide both sides of the equation by (1.5798786653185) to get x
100/1.5798786653185=x
63.296=x
x=63.296

now we have:
949.44 is 63.296% of 1500