752.34 is what percent of 1052.49 - 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 1052.49 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 1052.49, so we can write it down as 100%=1052.49.
4. We know, that x% equals 752.34 of the output value, so we can write it down as x%=752.34.
5. Now we have two simple equations:
1) 100%=1052.49
2) x%=752.34
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%=1052.49/752.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 752.34 is what percent of 1052.49

100%/x%=1052.49/752.34
(100/x)*x=(1052.49/752.34)*x       - we multiply both sides of the equation by x
100=1.3989552595901*x       - we divide both sides of the equation by (1.3989552595901) to get x
100/1.3989552595901=x
71.481914317476=x
x=71.481914317476

now we have:
752.34 is 71.481914317476% of 1052.49