959.35 is what percent of 4796.76 - 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 4796.76 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 4796.76, so we can write it down as 100%=4796.76.
4. We know, that x% equals 959.35 of the output value, so we can write it down as x%=959.35.
5. Now we have two simple equations:
1) 100%=4796.76
2) x%=959.35
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%=4796.76/959.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 959.35 is what percent of 4796.76

100%/x%=4796.76/959.35
(100/x)*x=(4796.76/959.35)*x       - we multiply both sides of the equation by x
100=5.0000104237244*x       - we divide both sides of the equation by (5.0000104237244) to get x
100/5.0000104237244=x
19.999958305189=x
x=19.999958305189

now we have:
959.35 is 19.999958305189% of 4796.76