473.86 is what percent of 627.45 - 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 627.45 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 627.45, so we can write it down as 100%=627.45.
4. We know, that x% equals 473.86 of the output value, so we can write it down as x%=473.86.
5. Now we have two simple equations:
1) 100%=627.45
2) x%=473.86
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%=627.45/473.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 473.86 is what percent of 627.45

100%/x%=627.45/473.86
(100/x)*x=(627.45/473.86)*x       - we multiply both sides of the equation by x
100=1.3241252690668*x       - we divide both sides of the equation by (1.3241252690668) to get x
100/1.3241252690668=x
75.52155550243=x
x=75.52155550243

now we have:
473.86 is 75.52155550243% of 627.45