1377.35 is what percent of 1564 - 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 1564 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 1564, so we can write it down as 100%=1564.
4. We know, that x% equals 1377.35 of the output value, so we can write it down as x%=1377.35.
5. Now we have two simple equations:
1) 100%=1564
2) x%=1377.35
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%=1564/1377.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1377.35 is what percent of 1564

100%/x%=1564/1377.35
(100/x)*x=(1564/1377.35)*x       - we multiply both sides of the equation by x
100=1.135513849058*x       - we divide both sides of the equation by (1.135513849058) to get x
100/1.135513849058=x
88.065856777494=x
x=88.065856777494

now we have:
1377.35 is 88.065856777494% of 1564