966.6 is what percent of 1550 - 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 1550 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 1550, so we can write it down as 100%=1550.
4. We know, that x% equals 966.6 of the output value, so we can write it down as x%=966.6.
5. Now we have two simple equations:
1) 100%=1550
2) x%=966.6
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%=1550/966.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 966.6 is what percent of 1550

100%/x%=1550/966.6
(100/x)*x=(1550/966.6)*x       - we multiply both sides of the equation by x
100=1.6035588661287*x       - we divide both sides of the equation by (1.6035588661287) to get x
100/1.6035588661287=x
62.361290322581=x
x=62.361290322581

now we have:
966.6 is 62.361290322581% of 1550