760.21 is what percent of 797.51 - 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 797.51 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 797.51, so we can write it down as 100%=797.51.
4. We know, that x% equals 760.21 of the output value, so we can write it down as x%=760.21.
5. Now we have two simple equations:
1) 100%=797.51
2) x%=760.21
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%=797.51/760.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 760.21 is what percent of 797.51

100%/x%=797.51/760.21
(100/x)*x=(797.51/760.21)*x       - we multiply both sides of the equation by x
100=1.0490653898265*x       - we divide both sides of the equation by (1.0490653898265) to get x
100/1.0490653898265=x
95.322942659026=x
x=95.322942659026

now we have:
760.21 is 95.322942659026% of 797.51