7.45 is what percent of 456.78 - 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 456.78 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 456.78, so we can write it down as 100%=456.78.
4. We know, that x% equals 7.45 of the output value, so we can write it down as x%=7.45.
5. Now we have two simple equations:
1) 100%=456.78
2) x%=7.45
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%=456.78/7.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.45 is what percent of 456.78

100%/x%=456.78/7.45
(100/x)*x=(456.78/7.45)*x       - we multiply both sides of the equation by x
100=61.312751677852*x       - we divide both sides of the equation by (61.312751677852) to get x
100/61.312751677852=x
1.6309820920356=x
x=1.6309820920356

now we have:
7.45 is 1.6309820920356% of 456.78