5667.65 is what percent of 9750.67 - 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 9750.67 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 9750.67, so we can write it down as 100%=9750.67.
4. We know, that x% equals 5667.65 of the output value, so we can write it down as x%=5667.65.
5. Now we have two simple equations:
1) 100%=9750.67
2) x%=5667.65
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%=9750.67/5667.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5667.65 is what percent of 9750.67

100%/x%=9750.67/5667.65
(100/x)*x=(9750.67/5667.65)*x       - we multiply both sides of the equation by x
100=1.7204079292123*x       - we divide both sides of the equation by (1.7204079292123) to get x
100/1.7204079292123=x
58.125749307483=x
x=58.125749307483

now we have:
5667.65 is 58.125749307483% of 9750.67