315.67 is what percent of 450 - 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 450 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 450, so we can write it down as 100%=450.
4. We know, that x% equals 315.67 of the output value, so we can write it down as x%=315.67.
5. Now we have two simple equations:
1) 100%=450
2) x%=315.67
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%=450/315.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 315.67 is what percent of 450

100%/x%=450/315.67
(100/x)*x=(450/315.67)*x       - we multiply both sides of the equation by x
100=1.4255393290462*x       - we divide both sides of the equation by (1.4255393290462) to get x
100/1.4255393290462=x
70.148888888889=x
x=70.148888888889

now we have:
315.67 is 70.148888888889% of 450