637.33 is what percent of 703.33 - 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 703.33 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 703.33, so we can write it down as 100%=703.33.
4. We know, that x% equals 637.33 of the output value, so we can write it down as x%=637.33.
5. Now we have two simple equations:
1) 100%=703.33
2) x%=637.33
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%=703.33/637.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 637.33 is what percent of 703.33

100%/x%=703.33/637.33
(100/x)*x=(703.33/637.33)*x       - we multiply both sides of the equation by x
100=1.1035570269719*x       - we divide both sides of the equation by (1.1035570269719) to get x
100/1.1035570269719=x
90.61606927047=x
x=90.61606927047

now we have:
637.33 is 90.61606927047% of 703.33