968.5 is what percent of 1711 - 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 1711 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 1711, so we can write it down as 100%=1711.
4. We know, that x% equals 968.5 of the output value, so we can write it down as x%=968.5.
5. Now we have two simple equations:
1) 100%=1711
2) x%=968.5
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%=1711/968.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 968.5 is what percent of 1711

100%/x%=1711/968.5
(100/x)*x=(1711/968.5)*x       - we multiply both sides of the equation by x
100=1.7666494579246*x       - we divide both sides of the equation by (1.7666494579246) to get x
100/1.7666494579246=x
56.604324956166=x
x=56.604324956166

now we have:
968.5 is 56.604324956166% of 1711