473.46 is what percent of 1315 - 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 1315 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 1315, so we can write it down as 100%=1315.
4. We know, that x% equals 473.46 of the output value, so we can write it down as x%=473.46.
5. Now we have two simple equations:
1) 100%=1315
2) x%=473.46
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%=1315/473.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 473.46 is what percent of 1315

100%/x%=1315/473.46
(100/x)*x=(1315/473.46)*x       - we multiply both sides of the equation by x
100=2.7774257593038*x       - we divide both sides of the equation by (2.7774257593038) to get x
100/2.7774257593038=x
36.004562737643=x
x=36.004562737643

now we have:
473.46 is 36.004562737643% of 1315