574.5 is what percent of 703.5 - 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 703.5 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 703.5, so we can write it down as 100%=703.5.
4. We know, that x% equals 574.5 of the output value, so we can write it down as x%=574.5.
5. Now we have two simple equations:
1) 100%=703.5
2) x%=574.5
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%=703.5/574.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 574.5 is what percent of 703.5

100%/x%=703.5/574.5
(100/x)*x=(703.5/574.5)*x       - we multiply both sides of the equation by x
100=1.2245430809399*x       - we divide both sides of the equation by (1.2245430809399) to get x
100/1.2245430809399=x
81.663113006397=x
x=81.663113006397

now we have:
574.5 is 81.663113006397% of 703.5