0.61 is what percent of 457.5 - 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 457.5 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 457.5, so we can write it down as 100%=457.5.
4. We know, that x% equals 0.61 of the output value, so we can write it down as x%=0.61.
5. Now we have two simple equations:
1) 100%=457.5
2) x%=0.61
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%=457.5/0.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.61 is what percent of 457.5

100%/x%=457.5/0.61
(100/x)*x=(457.5/0.61)*x       - we multiply both sides of the equation by x
100=750*x       - we divide both sides of the equation by (750) to get x
100/750=x
0.13333333333333=x
x=0.13333333333333

now we have:
0.61 is 0.13333333333333% of 457.5